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56524128 = 2531813253
BaseRepresentation
bin1101011110011…
…1110101100000
310221100201112020
43113213311200
5103432233003
65335301440
71254306243
oct327476540
9127321466
1056524128
11299a7461
1216b1a880
13b930b3b
14771525a
154e67d53
hex35e7d60

56524128 has 48 divisors (see below), whose sum is σ = 149241456. Its totient is φ = 18731520.

The previous prime is 56524109. The next prime is 56524151. The reversal of 56524128 is 82142565.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15750 + ... + 19002.

It is an arithmetic number, because the mean of its divisors is an integer number (3109197).

Almost surely, 256524128 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 56524128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74620728).

56524128 is an abundant number, since it is smaller than the sum of its proper divisors (92717328).

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

56524128 is a wasteful number, since it uses less digits than its factorization.

56524128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3439 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 56524128 is about 7518.2529885606. The cubic root of 56524128 is about 383.7761281888.

The spelling of 56524128 in words is "fifty-six million, five hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 3253 4344 5792 6506 8688 9759 13012 17376 19518 26024 39036 52048 78072 104096 156144 312288 588793 1177586 1766379 2355172 3532758 4710344 7065516 9420688 14131032 18841376 28262064 56524128