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56291256 = 23327671667
BaseRepresentation
bin1101011010111…
…0111110111000
310220220220002100
43112232332320
5103402310011
65330303400
71252316310
oct326567670
9126826070
1056291256
11298584aa
1216a27b60
13b87bb48
147694440
154e1dd56
hex35aefb8

56291256 has 96 divisors (see below), whose sum is σ = 176941440. Its totient is φ = 15833664.

The previous prime is 56291231. The next prime is 56291293. The reversal of 56291256 is 65219265.

56291256 is a `hidden beast` number, since 5 + 629 + 1 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56291256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32935 + ... + 34601.

It is an arithmetic number, because the mean of its divisors is an integer number (1843140).

Almost surely, 256291256 is an apocalyptic number.

56291256 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 56291256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88470720).

56291256 is an abundant number, since it is smaller than the sum of its proper divisors (120650184).

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

56291256 is a wasteful number, since it uses less digits than its factorization.

56291256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1746 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56291256 is about 7502.7498958715. The cubic root of 56291256 is about 383.2483669698.

The spelling of 56291256 in words is "fifty-six million, two hundred ninety-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1667 1876 2412 2814 3334 3752 4221 4824 5001 5628 6668 8442 10002 11256 11669 13336 15003 16884 20004 23338 30006 33768 35007 40008 46676 60012 70014 93352 105021 111689 120024 140028 210042 223378 280056 335067 420084 446756 670134 781823 840168 893512 1005201 1340268 1563646 2010402 2345469 2680536 3127292 4020804 4690938 6254584 7036407 8041608 9381876 14072814 18763752 28145628 56291256