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56315056 = 2472112383
BaseRepresentation
bin1101011011010…
…0110010110000
310220222002201211
43112310302300
5103404040211
65331005504
71252445560
oct326646260
9126862654
1056315056
1129874376
1216a39894
13b889925
14769cda0
154e25e21
hex35b4cb0

56315056 has 40 divisors (see below), whose sum is σ = 125341184. Its totient is φ = 24010560.

The previous prime is 56315053. The next prime is 56315089. The reversal of 56315056 is 65051365.

56315056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56315053) 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 7 ways as a sum of consecutive naturals, for example, 22441 + ... + 24823.

Almost surely, 256315056 is an apocalyptic number.

56315056 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 56315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62670592).

56315056 is an abundant number, since it is smaller than the sum of its proper divisors (69026128).

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

56315056 is a wasteful number, since it uses less digits than its factorization.

56315056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 56315056 is about 7504.3358133815. The cubic root of 56315056 is about 383.3023719585.

The spelling of 56315056 in words is "fifty-six million, three hundred fifteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 422 844 1477 1688 2383 2954 3376 4766 5908 9532 11816 16681 19064 23632 33362 38128 66724 133448 266896 502813 1005626 2011252 3519691 4022504 7039382 8045008 14078764 28157528 56315056