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56638720 = 28544249
BaseRepresentation
bin1101100000001…
…1110100000000
310221120112201101
43120003310000
5103444414340
65341544144
71255264315
oct330036400
9127515641
1056638720
1129a75566
1216b75054
13b971048
147744d0c
154e8bc9a
hex3603d00

56638720 has 36 divisors (see below), whose sum is σ = 135670500. Its totient is φ = 22654976.

The previous prime is 56638717. The next prime is 56638721. The reversal of 56638720 is 2783665.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 48888064 = 2784^2 + 6992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56638720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56638721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20845 + ... + 23404.

It is an arithmetic number, because the mean of its divisors is an integer number (3768625).

Almost surely, 256638720 is an apocalyptic number.

It is an amenable number.

56638720 is an abundant number, since it is smaller than the sum of its proper divisors (79031780).

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

56638720 is an equidigital number, since it uses as much as digits as its factorization.

56638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44270 (or 44256 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 56638720 is about 7525.8700493697. The cubic root of 56638720 is about 384.0352976812.

The spelling of 56638720 in words is "fifty-six million, six hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 44249 88498 176996 221245 353992 442490 707984 884980 1415968 1769960 2831936 3539920 5663872 7079840 11327744 14159680 28319360 56638720