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57552 = 24311109
BaseRepresentation
bin1110000011010000
32220221120
432003100
53320202
61122240
7326535
oct160320
986846
1057552
113a270
1229380
1320271
1416d8c
15120bc
hexe0d0

57552 has 40 divisors (see below), whose sum is σ = 163680. Its totient is φ = 17280.

The previous prime is 57529. The next prime is 57557. The reversal of 57552 is 25575.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1750) is a multiple of the sum of its prime divisors (125).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57557) 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, 474 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

257552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

57552 is an abundant number, since it is smaller than the sum of its proper divisors (106128).

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

57552 is a wasteful number, since it uses less digits than its factorization.

57552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 1750, while the sum is 24.

The square root of 57552 is about 239.8999791580. The cubic root of 57552 is about 38.6088447431.

The spelling of 57552 in words is "fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 436 528 654 872 1199 1308 1744 2398 2616 3597 4796 5232 7194 9592 14388 19184 28776 57552