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56502656 = 277193319
BaseRepresentation
bin1101011110001…
…0100110000000
310221022122001222
43113202212000
5103431041111
65335014212
71254156530
oct327424600
9127278058
1056502656
1129992311
1216b0a368
13b924132
14770b4c0
154e617db
hex35e2980

56502656 has 64 divisors (see below), whose sum is σ = 135456000. Its totient is φ = 22934016.

The previous prime is 56502647. The next prime is 56502659. The reversal of 56502656 is 65620565.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56502659) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15365 + ... + 18683.

It is an arithmetic number, because the mean of its divisors is an integer number (2116500).

Almost surely, 256502656 is an apocalyptic number.

56502656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56502656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67728000).

56502656 is an abundant number, since it is smaller than the sum of its proper divisors (78953344).

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

56502656 is a wasteful number, since it uses less digits than its factorization.

56502656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 56502656 is about 7516.8248616021. The cubic root of 56502656 is about 383.7275266153.

The spelling of 56502656 in words is "fifty-six million, five hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 3319 4256 6638 8512 13276 17024 23233 26552 46466 53104 63061 92932 106208 126122 185864 212416 252244 371728 424832 441427 504488 743456 882854 1008976 1486912 1765708 2017952 2973824 3531416 4035904 7062832 8071808 14125664 28251328 56502656