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57239629 = 1723753101
BaseRepresentation
bin1101101001011…
…0100001001101
310222201002000021
43122112201031
5104123132004
65402502141
71263346246
oct332264115
9128632007
1057239629
112a345a87
1217204951
13bb21705
14785dccd
155059d54
hex369684d

57239629 has 24 divisors (see below), whose sum is σ = 64256328. Its totient is φ = 50918400.

The previous prime is 57239627. The next prime is 57239653. The reversal of 57239629 is 92693275.

57239629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 15015625 + 42224004 = 3875^2 + 6498^2 .

It is not a de Polignac number, because 57239629 - 21 = 57239627 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57239627) 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 23 ways as a sum of consecutive naturals, for example, 566679 + ... + 566779.

It is an arithmetic number, because the mean of its divisors is an integer number (2677347).

Almost surely, 257239629 is an apocalyptic number.

It is an amenable number.

57239629 is a deficient number, since it is larger than the sum of its proper divisors (7016699).

57239629 is a wasteful number, since it uses less digits than its factorization.

57239629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its digits is 204120, while the sum is 43.

The square root of 57239629 is about 7565.6876091998. The cubic root of 57239629 is about 385.3886646803.

The spelling of 57239629 in words is "fifty-seven million, two hundred thirty-nine thousand, six hundred twenty-nine".

Divisors: 1 17 37 53 101 289 629 901 1717 1961 3737 5353 10693 15317 29189 33337 63529 91001 198061 566729 1079993 1547017 3367037 57239629