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57679504 = 2417212057
BaseRepresentation
bin1101110000000…
…1111010010000
311000112102101221
43130001322100
5104231221004
65420134424
71300160551
oct334017220
9130472357
1057679504
112a616513
1217397414
13bc469ac
147936328
1550e5354
hex3701e90

57679504 has 20 divisors (see below), whose sum is σ = 118328364. Its totient is φ = 27143168.

The previous prime is 57679493. The next prime is 57679511. The reversal of 57679504 is 40597675.

It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 26543104 = 5580^2 + 5152^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105757 + ... + 106300.

Almost surely, 257679504 is an apocalyptic number.

It is an amenable number.

57679504 is an abundant number, since it is smaller than the sum of its proper divisors (60648860).

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

57679504 is a wasteful number, since it uses less digits than its factorization.

57679504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212082 (or 212076 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 57679504 is about 7594.7023641483. The cubic root of 57679504 is about 386.3733579586.

The spelling of 57679504 in words is "fifty-seven million, six hundred seventy-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 212057 424114 848228 1696456 3392912 3604969 7209938 14419876 28839752 57679504