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57290960 = 245716137
BaseRepresentation
bin1101101010001…
…1000011010000
310222210200102102
43122203003100
5104131302320
65403535532
71263652016
oct332430320
9128720372
1057290960
112a380601
121722a5a8
13bb3bb9c
1478748b6
15506a175
hex36a30d0

57290960 has 20 divisors (see below), whose sum is σ = 133201668. Its totient is φ = 22916352.

The previous prime is 57290957. The next prime is 57290971. The reversal of 57290960 is 6909275.

It can be written as a sum of positive squares in 2 ways, for example, as 8737936 + 48553024 = 2956^2 + 6968^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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, 357989 + ... + 358148.

Almost surely, 257290960 is an apocalyptic number.

It is an amenable number.

57290960 is an abundant number, since it is smaller than the sum of its proper divisors (75910708).

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

57290960 is a wasteful number, since it uses less digits than its factorization.

57290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716150 (or 716144 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 57290960 is about 7569.0792042361. The cubic root of 57290960 is about 385.5038324140.

The spelling of 57290960 in words is "fifty-seven million, two hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 716137 1432274 2864548 3580685 5729096 7161370 11458192 14322740 28645480 57290960