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56405328 = 2437167873
BaseRepresentation
bin1101011100101…
…0110101010000
310221010200120020
43113022311100
5103414432303
65332543440
71253303010
oct327126520
9127120506
1056405328
1129926181
1216a81b80
13b8bba45
1476c3c40
154e42a53
hex35cad50

56405328 has 40 divisors (see below), whose sum is σ = 166531008. Its totient is φ = 16115712.

The previous prime is 56405317. The next prime is 56405333. The reversal of 56405328 is 82350465.

56405328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564053282 = 6363122053575168, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83601 + ... + 84272.

Almost surely, 256405328 is an apocalyptic number.

It is an amenable number.

56405328 is an abundant number, since it is smaller than the sum of its proper divisors (110125680).

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

56405328 is a wasteful number, since it uses less digits than its factorization.

56405328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167891 (or 167885 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 56405328 is about 7510.3480611753. The cubic root of 56405328 is about 383.5070715073.

The spelling of 56405328 in words is "fifty-six million, four hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 167873 335746 503619 671492 1007238 1175111 1342984 2014476 2350222 2685968 3525333 4028952 4700444 7050666 8057904 9400888 14101332 18801776 28202664 56405328