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57372 = 2237683
BaseRepresentation
bin1110000000011100
32220200220
432000130
53313442
61121340
7326160
oct160034
986626
1057372
113a117
1229250
1320163
1416ca0
1511eec
hexe01c

57372 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 16368.

The previous prime is 57367. The next prime is 57373. The reversal of 57372 is 27375.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

257372 is an apocalyptic number.

It is an amenable number.

57372 is an abundant number, since it is smaller than the sum of its proper divisors (95844).

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 (76608).

57372 is a wasteful number, since it uses less digits than its factorization.

57372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 57372 is about 239.5245290153. The cubic root of 57372 is about 38.5685516177.

The spelling of 57372 in words is "fifty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 683 1366 2049 2732 4098 4781 8196 9562 14343 19124 28686 57372