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56588742 = 2327449117
BaseRepresentation
bin1101011111011…
…1100111000110
310221111000011100
43113313213012
5103441314432
65340520530
71254665520
oct327674706
9127430140
1056588742
1129a40a61
1216b50146
13b954382
147730a10
154e7c07c
hex35f79c6

56588742 has 24 divisors (see below), whose sum is σ = 140124816. Its totient is φ = 16168176.

The previous prime is 56588737. The next prime is 56588743. The reversal of 56588742 is 24788565.

56588742 is a `hidden beast` number, since 565 + 8 + 87 + 4 + 2 = 666.

It is a super-2 number, since 2×565887422 = 6404571442285128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56588743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224433 + ... + 224684.

It is an arithmetic number, because the mean of its divisors is an integer number (5838534).

Almost surely, 256588742 is an apocalyptic number.

56588742 is an abundant number, since it is smaller than the sum of its proper divisors (83536074).

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

56588742 is a wasteful number, since it uses less digits than its factorization.

56588742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449132 (or 449129 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 56588742 is about 7522.5489031312. The cubic root of 56588742 is about 383.9223068729.

It can be divided in two parts, 5658 and 8742, that added together give a square (14400 = 1202).

The spelling of 56588742 in words is "fifty-six million, five hundred eighty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 449117 898234 1347351 2694702 3143819 4042053 6287638 8084106 9431457 18862914 28294371 56588742