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56725956 = 223271631381
BaseRepresentation
bin1101100001100…
…1000111000100
310221201222101100
43120121013010
5104010212311
65343500100
71256106540
oct330310704
9127658340
1056725956
112a025061
1216bb7630
13b9a1971
147768a20
154ea7a56
hex36191c4

56725956 has 72 divisors (see below), whose sum is σ = 164999744. Its totient is φ = 16096320.

The previous prime is 56725931. The next prime is 56725967. The reversal of 56725956 is 65952765.

56725956 is a `hidden beast` number, since 56 + 7 + 2 + 595 + 6 = 666.

56725956 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×567259562 = 6435668168227872, which contains 22 as substring.

56725956 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40386 + ... + 41766.

Almost surely, 256725956 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 56725956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82499872).

56725956 is an abundant number, since it is smaller than the sum of its proper divisors (108273788).

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

56725956 is a wasteful number, since it uses less digits than its factorization.

56725956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1556 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 56725956 is about 7531.6635612592. The cubic root of 56725956 is about 384.2323626217.

It can be divided in two parts, 5672 and 5956, that added together give a triangular number (11628 = T152).

The spelling of 56725956 in words is "fifty-six million, seven hundred twenty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 978 1141 1381 1467 1956 2282 2762 2934 3423 4143 4564 5524 5868 6846 8286 9667 10269 12429 13692 16572 19334 20538 24858 29001 38668 41076 49716 58002 87003 116004 174006 225103 348012 450206 675309 900412 1350618 1575721 2025927 2701236 3151442 4051854 4727163 6302884 8103708 9454326 14181489 18908652 28362978 56725956