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58188 = 22313373
BaseRepresentation
bin1110001101001100
32221211010
432031030
53330223
61125220
7331434
oct161514
987733
1058188
113a799
1229810
1320640
14172c4
1512393
hexe34c

58188 has 24 divisors (see below), whose sum is σ = 146608. Its totient is φ = 17856.

The previous prime is 58171. The next prime is 58189. The reversal of 58188 is 88185.

58188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (58189) 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, 31 + ... + 342.

258188 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 58188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73304).

58188 is an abundant number, since it is smaller than the sum of its proper divisors (88420).

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

58188 is a wasteful number, since it uses less digits than its factorization.

58188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 58188 is about 241.2218895540. The cubic root of 58188 is about 38.7505445640.

The spelling of 58188 in words is "fifty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 373 746 1119 1492 2238 4476 4849 9698 14547 19396 29094 58188