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56424544 = 25111571021
BaseRepresentation
bin1101011100111…
…1100001100000
310221011122220221
43113033201200
5103421041134
65333212424
71253413021
oct327174140
9127148827
1056424544
1129939660
1216a91114
13b8c7707
1476cac48
154e485b4
hex35cf860

56424544 has 48 divisors (see below), whose sum is σ = 122075856. Its totient is φ = 25459200.

The previous prime is 56424541. The next prime is 56424553. The reversal of 56424544 is 44542465.

56424544 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 not an unprimeable number, because it can be changed into a prime (56424541) 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, 54754 + ... + 55774.

It is an arithmetic number, because the mean of its divisors is an integer number (2543247).

Almost surely, 256424544 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 56424544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61037928).

56424544 is an abundant number, since it is smaller than the sum of its proper divisors (65651312).

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

56424544 is a wasteful number, since it uses less digits than its factorization.

56424544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1191 counting only the distinct ones).

The product of its digits is 76800, while the sum is 34.

The square root of 56424544 is about 7511.6272537979. The cubic root of 56424544 is about 383.5506172469.

The spelling of 56424544 in words is "fifty-six million, four hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1021 1256 1727 2042 2512 3454 4084 5024 6908 8168 11231 13816 16336 22462 27632 32672 44924 55264 89848 160297 179696 320594 359392 641188 1282376 1763267 2564752 3526534 5129504 7053068 14106136 28212272 56424544