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56446656 = 263741999
BaseRepresentation
bin1101011101010…
…0111011000000
310221012210020220
43113110323000
5103422243111
65333503040
71253534340
oct327247300
9127183226
1056446656
1129954232
1216aa1a80
13b9047b6
1476d4d20
154e4ee06
hex35d4ec0

56446656 has 56 divisors (see below), whose sum is σ = 170688000. Its totient is φ = 16127232.

The previous prime is 56446639. The next prime is 56446661. The reversal of 56446656 is 65664465.

It is a happy number.

56446656 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19656 + ... + 22343.

It is an arithmetic number, because the mean of its divisors is an integer number (3048000).

Almost surely, 256446656 is an apocalyptic number.

56446656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56446656 is an abundant number, since it is smaller than the sum of its proper divisors (114241344).

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

56446656 is a wasteful number, since it uses less digits than its factorization.

56446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42021 (or 42011 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 56446656 is about 7513.0989611478. The cubic root of 56446656 is about 383.6007134345.

The spelling of 56446656 in words is "fifty-six million, four hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 41999 83998 125997 167996 251994 293993 335992 503988 587986 671984 881979 1007976 1175972 1343968 1763958 2015952 2351944 2687936 3527916 4031904 4703888 7055832 8063808 9407776 14111664 18815552 28223328 56446656