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56000637 = 3271180809
BaseRepresentation
bin1101010110100…
…0000001111101
310220101010102200
43111220001331
5103314010022
65320142113
71246666110
oct325500175
9126333380
1056000637
112967a120
1216907939
13b7a9794
14761a577
154db2bac
hex356807d

56000637 has 24 divisors (see below), whose sum is σ = 100850880. Its totient is φ = 29090880.

The previous prime is 56000621. The next prime is 56000639. The reversal of 56000637 is 73600065.

56000637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56000637 - 24 = 56000621 is a prime.

56000637 is a modest number, since divided by 637 gives 56 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 56000637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56000639) 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 23 ways as a sum of consecutive naturals, for example, 39712 + ... + 41097.

It is an arithmetic number, because the mean of its divisors is an integer number (4202120).

Almost surely, 256000637 is an apocalyptic number.

It is an amenable number.

56000637 is a deficient number, since it is larger than the sum of its proper divisors (44850243).

56000637 is a wasteful number, since it uses less digits than its factorization.

56000637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80833 (or 80830 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56000637 is about 7483.3573347796. The cubic root of 56000637 is about 382.5876871885.

The spelling of 56000637 in words is "fifty-six million, six hundred thirty-seven", and thus it is an aban number.

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 80809 242427 565663 727281 888899 1696989 2666697 5090967 6222293 8000091 18666879 56000637