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56688128 = 29715817
BaseRepresentation
bin1101100000111…
…1111000000000
310221200001111022
43120033320000
5104003010003
65343005012
71255561340
oct330177000
9127601438
1056688128
1129aa96a2
1216b99768
13b98a693
147758d20
154e9b738
hex360fe00

56688128 has 40 divisors (see below), whose sum is σ = 129454512. Its totient is φ = 24293376.

The previous prime is 56688103. The next prime is 56688133. The reversal of 56688128 is 82188665.

It is a super-2 number, since 2×566881282 = 6427087712288768, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 4325 + ... + 11492.

Almost surely, 256688128 is an apocalyptic number.

It is an amenable number.

56688128 is an abundant number, since it is smaller than the sum of its proper divisors (72766384).

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

56688128 is an equidigital number, since it uses as much as digits as its factorization.

56688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842 (or 15826 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 56688128 is about 7529.1518778678. The cubic root of 56688128 is about 384.1469345103.

The spelling of 56688128 in words is "fifty-six million, six hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 15817 31634 63268 110719 126536 221438 253072 442876 506144 885752 1012288 1771504 2024576 3543008 4049152 7086016 8098304 14172032 28344064 56688128