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56382656 = 26112832
BaseRepresentation
bin1101011100010…
…1010011000000
310221002112110112
43113011103000
5103413221111
65332250452
71253146631
oct327052300
9127075415
1056382656
1129910140
1216a70a28
13b8b1625
1476b9888
154e3ae8b
hex35c54c0

56382656 has 42 divisors (see below), whose sum is σ = 122488452. Its totient is φ = 25537920.

The previous prime is 56382649. The next prime is 56382661. The reversal of 56382656 is 65628365.

It is a super-2 number, since 2×563826562 = 6358007795228672, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 199091 + ... + 199373.

Almost surely, 256382656 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 56382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61244226).

56382656 is an abundant number, since it is smaller than the sum of its proper divisors (66105796).

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

56382656 is an equidigital number, since it uses as much as digits as its factorization.

56382656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 296 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 56382656 is about 7508.8385253646. The cubic root of 56382656 is about 383.4556813411.

The spelling of 56382656 in words is "fifty-six million, three hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 283 352 566 704 1132 2264 3113 4528 6226 9056 12452 18112 24904 49808 80089 99616 160178 199232 320356 640712 880979 1281424 1761958 2562848 3523916 5125696 7047832 14095664 28191328 56382656