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56446752 = 253587987
BaseRepresentation
bin1101011101010…
…0111100100000
310221012210101110
43113110330200
5103422244002
65333503320
71253534535
oct327247440
9127183343
1056446752
112995430a
1216aa1b40
13b90485b
1476d4d8c
154e4ee6c
hex35d4f20

56446752 has 24 divisors (see below), whose sum is σ = 148172976. Its totient is φ = 18815552.

The previous prime is 56446729. The next prime is 56446769. The reversal of 56446752 is 25764465.

56446752 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 (24).

It is a super-2 number, since 2×564467522 = 6372471622699008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56446752.

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 3 ways as a sum of consecutive naturals, for example, 293898 + ... + 294089.

It is an arithmetic number, because the mean of its divisors is an integer number (6173874).

Almost surely, 256446752 is an apocalyptic number.

It is an amenable number.

56446752 is an abundant number, since it is smaller than the sum of its proper divisors (91726224).

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

56446752 is a wasteful number, since it uses less digits than its factorization.

56446752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588000 (or 587992 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 56446752 is about 7513.1053499868. The cubic root of 56446752 is about 383.6009309002.

The spelling of 56446752 in words is "fifty-six million, four hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 587987 1175974 1763961 2351948 3527922 4703896 7055844 9407792 14111688 18815584 28223376 56446752