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56331144 = 23322712887
BaseRepresentation
bin1101011011100…
…0101110001000
310220222220210200
43112320232020
5103410044034
65331212200
71252543512
oct326705610
9126886720
1056331144
1129885471
1216a47060
13b89404c
1476a4bb2
154e2aa99
hex35b8b88

56331144 has 48 divisors (see below), whose sum is σ = 153179520. Its totient is φ = 18701280.

The previous prime is 56331133. The next prime is 56331151. The reversal of 56331144 is 44113365.

56331144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 18069 + ... + 20955.

It is an arithmetic number, because the mean of its divisors is an integer number (3191240).

Almost surely, 256331144 is an apocalyptic number.

It is an amenable number.

56331144 is an abundant number, since it is smaller than the sum of its proper divisors (96848376).

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

56331144 is a wasteful number, since it uses less digits than its factorization.

56331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3163 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 56331144 is about 7505.4076504877. The cubic root of 56331144 is about 383.3388688972.

The spelling of 56331144 in words is "fifty-six million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 271 542 813 1084 1626 2168 2439 2887 3252 4878 5774 6504 8661 9756 11548 17322 19512 23096 25983 34644 51966 69288 103932 207864 782377 1564754 2347131 3129508 4694262 6259016 7041393 9388524 14082786 18777048 28165572 56331144