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56564928 = 2632714029
BaseRepresentation
bin1101011111000…
…1110011000000
310221102210111100
43113301303000
5103440034203
65340214400
71254536220
oct327616300
9127383440
1056564928
1129a25082
1216b3a400
13b946594
147726080
154e74ea3
hex35f1cc0

56564928 has 84 divisors (see below), whose sum is σ = 185308240. Its totient is φ = 16160256.

The previous prime is 56564927. The next prime is 56564941. The reversal of 56564928 is 82946565.

56564928 is a `hidden beast` number, since 565 + 64 + 9 + 28 = 666.

56564928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (56564927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2983 + ... + 11046.

Almost surely, 256564928 is an apocalyptic number.

It is an amenable number.

56564928 is an abundant number, since it is smaller than the sum of its proper divisors (128743312).

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

56564928 is a wasteful number, since it uses less digits than its factorization.

56564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14054 (or 14041 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56564928 is about 7520.9658954153. The cubic root of 56564928 is about 383.8684445186.

The spelling of 56564928 in words is "fifty-six million, five hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 14029 28058 42087 56116 84174 98203 112232 126261 168348 196406 224464 252522 294609 336696 392812 448928 505044 589218 673392 785624 883827 897856 1010088 1178436 1346784 1571248 1767654 2020176 2356872 2693568 3142496 3535308 4040352 4713744 6284992 7070616 8080704 9427488 14141232 18854976 28282464 56564928