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56440832 = 211731127
BaseRepresentation
bin1101011101001…
…1100000000000
310221012111021012
43113103200000
5103422101312
65333420052
71253511350
oct327234000
9127174235
1056440832
112994a918
1216a9a628
13b901c56
1476d2b60
154e4d322
hex35d3800

56440832 has 96 divisors (see below), whose sum is σ = 134184960. Its totient is φ = 23224320.

The previous prime is 56440829. The next prime is 56440837. The reversal of 56440832 is 23804465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56440837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444353 + ... + 444479.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 256440832 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 56440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67092480).

56440832 is an abundant number, since it is smaller than the sum of its proper divisors (77744128).

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

56440832 is a wasteful number, since it uses less digits than its factorization.

56440832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 56440832 is about 7512.7113614194. The cubic root of 56440832 is about 383.5875200494.

The spelling of 56440832 in words is "fifty-six million, four hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 127 128 217 224 248 254 256 434 448 496 508 512 868 889 896 992 1016 1024 1736 1778 1792 1984 2032 2048 3472 3556 3584 3937 3968 4064 6944 7112 7168 7874 7936 8128 13888 14224 14336 15748 15872 16256 27559 27776 28448 31496 31744 32512 55118 55552 56896 62992 63488 65024 110236 111104 113792 125984 130048 220472 222208 227584 251968 260096 440944 444416 455168 503936 881888 910336 1007872 1763776 1820672 2015744 3527552 4031488 7055104 8062976 14110208 28220416 56440832