66449 (number)
66,449 (sixtysix thousand four hundred fortynine) is an odd fivedigits prime number following 66448 and preceding 66450. In scientific notation, it is written as 6.6449 × 10^{4}. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 66,448 positive integers (up to 66449) that are relatively prime to 66449.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 29
 Digital Root 2
Name
Short name  66 thousand 449 

Full name  sixtysix thousand four hundred fortynine 
Notation
Scientific notation  6.6449 × 10^{4} 

Engineering notation  66.449 × 10^{3} 
Prime Factorization of 66449
Prime Factorization 66449
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  66449  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.104190015119  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 66,449 is 66449. Since it has a total of 1 prime factor, 66,449 is a prime number.
Divisors of 66449
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  66450  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  33225  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  257.77703543954  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999699021821  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 66,449 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 66,449) is 66,450, the average is 33,225.
Other Arithmetic Functions (n = 66449)
φ(n)  Euler Totient  66448  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  66448  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 6625  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 66,448 positive integers (less than 66,449) that are coprime with 66,449. And there are approximately 6,625 prime numbers less than or equal to 66,449.
Divisibility of 66449
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  4  5  5  1  2 
66,449 is not divisible by any number less than or equal to 9.
Classification of 66449
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (66449)
Base  System  Value 

2  Binary  10000001110010001 
3  Ternary  10101011002 
4  Quaternary  100032101 
5  Quinary  4111244 
6  Senary  1231345 
8  Octal  201621 
10  Decimal  66449 
12  Duodecimal  32555 
16  Hexadecimal  10391 
20  Vigesimal  8629 
36  Base36  1f9t 
Basic calculations (n = 66449)
Multiplication
n×yn×2  132898 

n×3  199347 
n×4  265796 
n×5  332245 
Division
n÷yn÷2  33224.500 

n÷3  22149.666 
n÷4  16612.250 
n÷5  13289.800 
Exponentiation
n^{y}n^{2}  4415469601 

n^{3}  293403539516849 
n^{4}  19496371797355099201 
n^{5}  1295514409562448986807249 
Nth Root
^{y}√n^{2}√n  257.77703543954 

^{3}√n  40.503835434154 
^{4}√n  16.055436320435 
^{5}√n  9.2150498708124 
66449 as geometric shapes
Circle
Radius = nDiameter  132898 

Circumference  417511.38047678 
Area  13871606860.651 
Sphere
Radius = nVolume  1.2290058723778E+15 

Surface area  55486427442.603 
Circumference  417511.38047678 
Square
Length = nPerimeter  265796 

Area  4415469601 
Diagonal  93973.07700613 
Cube
Length = nSurface area  26492817606 

Volume  293403539516849 
Space diagonal  115093.04411214 
Equilateral Triangle
Length = nPerimeter  199347 

Area  1911954422.052 
Altitude  57546.522056072 
Triangular Pyramid
Length = nSurface area  7647817688.2079 

Volume  34577938736083 
Height  54255.381306066 
Cryptographic Hash Functions
md5  2396e9e42ef84c8636a66efd53094116 

sha1  5089481afff16da39e37707151f54d2e2d6570af 
sha256  5118292d26914337a2f921bc1992b0557e5ecf764b26ca1a15f3527f3d72046f 
sha512  e48f7c27f010c3712ca6561e592272b8bf3f2fa63756e12b6d06bad2c3772f7c5b38ee8c1258a3d21a08d8adbbb524cfc48d0fa86cc18ad21bd3bd68a43a00ea 
ripemd160  19da4b3f9e915a5faa5e15bdfca323111191e25f 