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64256256 = 28321672
BaseRepresentation
bin1111010100011…
…1100100000000
311110220120000100
43311013210000
5112422200011
610213122400
71410112011
oct365074400
9143816010
1064256256
11332a8749
1219629400
131040a36c
148769008
155993d56
hex3d47900

64256256 has 81 divisors (see below), whose sum is σ = 186382651. Its totient is φ = 21290496.

The previous prime is 64256239. The next prime is 64256281. The reversal of 64256256 is 65265246.

The square root of 64256256 is 8016.

It is a perfect power (a square), and thus also a powerful number.

64256256 is a `hidden beast` number, since 6 + 4 + 25 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64256256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 384685 + ... + 384851.

Almost surely, 264256256 is an apocalyptic number.

64256256 is the 8016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64256256

64256256 is an abundant number, since it is smaller than the sum of its proper divisors (122126395).

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

64256256 is an equidigital number, since it uses as much as digits as its factorization.

64256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 172 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The cubic root of 64256256 is about 400.5331557134.

Multiplying 64256256 by its sum of digits (36), we get a square (2313225216 = 480962).

64256256 divided by its sum of digits (36) gives a square (1784896 = 13362).

The spelling of 64256256 in words is "sixty-four million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 576 668 768 1002 1152 1336 1503 2004 2304 2672 3006 4008 5344 6012 8016 10688 12024 16032 21376 24048 27889 32064 42752 48096 55778 64128 83667 96192 111556 128256 167334 192384 223112 251001 334668 384768 446224 502002 669336 892448 1004004 1338672 1784896 2008008 2677344 3569792 4016016 5354688 7139584 8032032 10709376 16064064 21418752 32128128 64256256