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56131656 = 2337259809
BaseRepresentation
bin1101011000100…
…0000001001000
310220121210011020
43112020001020
5103332203111
65323032440
71251053100
oct326100110
9126553136
1056131656
11297595a9
121696b720
13b8242c9
147652200
154ddb906
hex3588048

56131656 has 96 divisors (see below), whose sum is σ = 166212000. Its totient is φ = 15746304.

The previous prime is 56131619. The next prime is 56131657. The reversal of 56131656 is 65613165.

56131656 = T168 + T169 + ... + T698.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (56131657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68980 + ... + 69788.

It is an arithmetic number, because the mean of its divisors is an integer number (1731375).

Almost surely, 256131656 is an apocalyptic number.

56131656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56131656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83106000).

56131656 is an abundant number, since it is smaller than the sum of its proper divisors (110080344).

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

56131656 is a wasteful number, since it uses less digits than its factorization.

56131656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 880 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 56131656 is about 7492.1062459098. The cubic root of 56131656 is about 382.8858219826.

The spelling of 56131656 in words is "fifty-six million, one hundred thirty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 59 84 98 118 147 168 177 196 236 294 354 392 413 472 588 708 809 826 1176 1239 1416 1618 1652 2427 2478 2891 3236 3304 4854 4956 5663 5782 6472 8673 9708 9912 11326 11564 16989 17346 19416 22652 23128 33978 34692 39641 45304 47731 67956 69384 79282 95462 118923 135912 143193 158564 190924 237846 286386 317128 334117 381848 475692 572772 668234 951384 1002351 1145544 1336468 2004702 2338819 2672936 4009404 4677638 7016457 8018808 9355276 14032914 18710552 28065828 56131656