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56801904 = 2432322237
BaseRepresentation
bin1101100010101…
…1101001110000
310221212211120020
43120223221300
5104020130104
65345243440
71256544135
oct330535160
9127784506
1056801904
112a077125
1217033580
13b9ca3c3
14778858c
154ec02d9
hex362ba70

56801904 has 60 divisors (see below), whose sum is σ = 153464136. Its totient is φ = 18102656.

The previous prime is 56801861. The next prime is 56801909. The reversal of 56801904 is 40910865.

56801904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56801909) 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, 24274 + ... + 26510.

Almost surely, 256801904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56801904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76732068).

56801904 is an abundant number, since it is smaller than the sum of its proper divisors (96662232).

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

56801904 is a wasteful number, since it uses less digits than its factorization.

56801904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 56801904 is about 7536.7037887926. The cubic root of 56801904 is about 384.4037636747.

The spelling of 56801904 in words is "fifty-six million, eight hundred one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 529 552 1058 1104 1587 2116 2237 3174 4232 4474 6348 6711 8464 8948 12696 13422 17896 25392 26844 35792 51451 53688 102902 107376 154353 205804 308706 411608 617412 823216 1183373 1234824 2366746 2469648 3550119 4733492 7100238 9466984 14200476 18933968 28400952 56801904