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57120372 = 22322954713
BaseRepresentation
bin1101100111100…
…1011001110100
310222111000102100
43121321121310
5104110322442
65400142100
71262341461
oct331713164
9128430370
1057120372
112a274421
1217167930
13baac34a
14782c668
15503484c
hex3679674

57120372 has 36 divisors (see below), whose sum is σ = 149369220. Its totient is φ = 18383232.

The previous prime is 57120367. The next prime is 57120373. The reversal of 57120372 is 27302175.

57120372 is a `hidden beast` number, since 571 + 20 + 3 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24561936 + 32558436 = 4956^2 + 5706^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57120373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26313 + ... + 28400.

It is an arithmetic number, because the mean of its divisors is an integer number (4149145).

Almost surely, 257120372 is an apocalyptic number.

It is an amenable number.

57120372 is an abundant number, since it is smaller than the sum of its proper divisors (92248848).

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

57120372 is a wasteful number, since it uses less digits than its factorization.

57120372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54752 (or 54747 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 57120372 is about 7557.8020614462. The cubic root of 57120372 is about 385.1208301239.

The spelling of 57120372 in words is "fifty-seven million, one hundred twenty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 54713 109426 164139 218852 328278 492417 656556 984834 1586677 1969668 3173354 4760031 6346708 9520062 14280093 19040124 28560186 57120372