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56391328 = 257614127
BaseRepresentation
bin1101011100011…
…1011010100000
310221002222100201
43113013122200
5103414010303
65332354544
71253214130
oct327073240
9127088321
1056391328
1129916704
1216a75a54
13b8b5566
1476bcac0
154e3d81d
hex35c76a0

56391328 has 48 divisors (see below), whose sum is σ = 128991744. Its totient is φ = 23765760.

The previous prime is 56391301. The next prime is 56391337. The reversal of 56391328 is 82319365.

56391328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11601 + ... + 15727.

It is an arithmetic number, because the mean of its divisors is an integer number (2687328).

Almost surely, 256391328 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 56391328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64495872).

56391328 is an abundant number, since it is smaller than the sum of its proper divisors (72600416).

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

56391328 is a wasteful number, since it uses less digits than its factorization.

56391328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4197 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 56391328 is about 7509.4159559849. The cubic root of 56391328 is about 383.4753396156.

The spelling of 56391328 in words is "fifty-six million, three hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 4127 6832 8254 13664 16508 28889 33016 57778 66032 115556 132064 231112 251747 462224 503494 924448 1006988 1762229 2013976 3524458 4027952 7048916 8055904 14097832 28195664 56391328