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57303144 = 2332795877
BaseRepresentation
bin1101101010011…
…0000001101000
310222211022010200
43122212001220
5104132200034
65404112200
71264032363
oct332460150
9128738120
1057303144
112a389778
1217235660
13bb445b2
1478790da
15506da99
hex36a6068

57303144 has 24 divisors (see below), whose sum is σ = 155196210. Its totient is φ = 19101024.

The previous prime is 57303131. The next prime is 57303149. The reversal of 57303144 is 44130375.

It can be written as a sum of positive squares in only one way, i.e., 45400644 + 11902500 = 6738^2 + 3450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (57303149) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 397867 + ... + 398010.

Almost surely, 257303144 is an apocalyptic number.

It is an amenable number.

57303144 is an abundant number, since it is smaller than the sum of its proper divisors (97893066).

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

57303144 is a wasteful number, since it uses less digits than its factorization.

57303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795889 (or 795882 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57303144 is about 7569.8840149635. The cubic root of 57303144 is about 385.5311586901.

The spelling of 57303144 in words is "fifty-seven million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 795877 1591754 2387631 3183508 4775262 6367016 7162893 9550524 14325786 19101048 28651572 57303144