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57042 = 2323169
BaseRepresentation
bin1101111011010010
32220020200
431323102
53311132
61120030
7325206
oct157322
986220
1057042
1139947
1229016
131cc6b
1416b06
1511d7c
hexded2

57042 has 12 divisors (see below), whose sum is σ = 123630. Its totient is φ = 19008.

The previous prime is 57041. The next prime is 57047. The reversal of 57042 is 24075.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 16641 = 201^2 + 129^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3169 = 57042 / (5 + 7 + 0 + 4 + 2).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57042.

It is not an unprimeable number, because it can be changed into a prime (57041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1567 + ... + 1602.

257042 is an apocalyptic number.

57042 is an abundant number, since it is smaller than the sum of its proper divisors (66588).

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

57042 is a wasteful number, since it uses less digits than its factorization.

57042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57042 is about 238.8346708499. The cubic root of 57042 is about 38.4944614510.

The spelling of 57042 in words is "fifty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 3169 6338 9507 19014 28521 57042