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57144 = 2332381
BaseRepresentation
bin1101111100111000
32220101110
431330320
53312034
61120320
7325413
oct157470
986343
1057144
1139a2a
12290a0
1320019
1416b7a
1511de9
hexdf38

57144 has 16 divisors (see below), whose sum is σ = 142920. Its totient is φ = 19040.

The previous prime is 57143. The next prime is 57149. The reversal of 57144 is 44175.

It is a self number, because there is not a number n which added to its sum of digits gives 57144.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57144.

It is not an unprimeable number, because it can be changed into a prime (57143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1167 + ... + 1214.

257144 is an apocalyptic number.

It is an amenable number.

57144 is an abundant number, since it is smaller than the sum of its proper divisors (85776).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71460).

57144 is a wasteful number, since it uses less digits than its factorization.

57144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2386 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 57144 is about 239.0481123121. The cubic root of 57144 is about 38.5173924903.

The spelling of 57144 in words is "fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 2381 4762 7143 9524 14286 19048 28572 57144