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56302656 = 2631272309
BaseRepresentation
bin1101011011000…
…1110001000000
310220221110201120
43112301301000
5103403141111
65330432240
71252364454
oct326616100
9126843646
1056302656
1129866023
1216a32680
13b8840a7
147698664
154e22406
hex35b1c40

56302656 has 56 divisors (see below), whose sum is σ = 150205440. Its totient is φ = 18611712.

The previous prime is 56302639. The next prime is 56302667. The reversal of 56302656 is 65620365.

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 7 ways as a sum of consecutive naturals, for example, 23230 + ... + 25538.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 256302656 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 56302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75102720).

56302656 is an abundant number, since it is smaller than the sum of its proper divisors (93902784).

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

56302656 is a wasteful number, since it uses less digits than its factorization.

56302656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 56302656 is about 7503.5095788571. The cubic root of 56302656 is about 383.2742368046.

The spelling of 56302656 in words is "fifty-six million, three hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 2309 3048 4064 4618 6096 6927 8128 9236 12192 13854 18472 24384 27708 36944 55416 73888 110832 147776 221664 293243 443328 586486 879729 1172972 1759458 2345944 3518916 4691888 7037832 9383776 14075664 18767552 28151328 56302656