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58956 = 223173
BaseRepresentation
bin1110011001001100
32222212120
432121030
53341311
61132540
7333612
oct163114
988776
1058956
1140327
122a150
1320ab1
14176b2
1512706
hexe64c

58956 has 24 divisors (see below), whose sum is σ = 146160. Its totient is φ = 18496.

The previous prime is 58943. The next prime is 58963. The reversal of 58956 is 65985.

58956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 9.

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, 3460 + ... + 3476.

It is an arithmetic number, because the mean of its divisors is an integer number (6090).

258956 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 58956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73080).

58956 is an abundant number, since it is smaller than the sum of its proper divisors (87204).

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

58956 is a wasteful number, since it uses less digits than its factorization.

58956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 22 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 58956 is about 242.8085665705. The cubic root of 58956 is about 38.9202842468.

The spelling of 58956 in words is "fifty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 3468 4913 9826 14739 19652 29478 58956