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57988 = 22719109
BaseRepresentation
bin1110001010000100
32221112201
432022010
53323423
61124244
7331030
oct161204
987481
1057988
113a627
1229684
1320518
14171c0
15122ad
hexe284

57988 has 24 divisors (see below), whose sum is σ = 123200. Its totient is φ = 23328.

The previous prime is 57977. The next prime is 57991. The reversal of 57988 is 88975.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 586.

257988 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 57988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61600).

57988 is an abundant number, since it is smaller than the sum of its proper divisors (65212).

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

57988 is a wasteful number, since it uses less digits than its factorization.

57988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 57988 is about 240.8069766431. The cubic root of 57988 is about 38.7060966521.

Multiplying 57988 by its sum of digits (37), we get a triangular number (2145556 = T2071).

The spelling of 57988 in words is "fifty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 109 133 218 266 436 532 763 1526 2071 3052 4142 8284 14497 28994 57988