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64350976 = 28416131
BaseRepresentation
bin1111010101111…
…0101100000000
311111002100221111
43311132230000
5112433212401
610215133104
71410655114
oct365365400
9144070844
1064350976
1133362928
1219674194
1310441501
148791744
1559b1e51
hex3d5eb00

64350976 has 36 divisors (see below), whose sum is σ = 131604984. Its totient is φ = 31385600.

The previous prime is 64350973. The next prime is 64350997. The reversal of 64350976 is 67905346.

64350976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×643509762 = 8282096224305152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64350973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7431 + ... + 13561.

It is an arithmetic number, because the mean of its divisors is an integer number (3655694).

Almost surely, 264350976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802492).

64350976 is an abundant number, since it is smaller than the sum of its proper divisors (67254008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64350976 is an equidigital number, since it uses as much as digits as its factorization.

64350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 64350976 is about 8021.9060079260. The cubic root of 64350976 is about 400.7298674238.

The spelling of 64350976 in words is "sixty-four million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 6131 10496 12262 24524 49048 98096 196192 251371 392384 502742 784768 1005484 1569536 2010968 4021936 8043872 16087744 32175488 64350976