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58332 = 2234861
BaseRepresentation
bin1110001111011100
32222000110
432033130
53331312
61130020
7332031
oct161734
988013
1058332
113a90a
1229910
1320721
1417388
151243c
hexe3dc

58332 has 12 divisors (see below), whose sum is σ = 136136. Its totient is φ = 19440.

The previous prime is 58321. The next prime is 58337. The reversal of 58332 is 23385.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 58299 and 58308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58337) by changing a digit.

58332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2419 + ... + 2442.

258332 is an apocalyptic number.

It is an amenable number.

58332 is an abundant number, since it is smaller than the sum of its proper divisors (77804).

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 (68068).

58332 is a wasteful number, since it uses less digits than its factorization.

58332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4866 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 58332 is about 241.5201854918. The cubic root of 58332 is about 38.7824840341.

Subtracting from 58332 its sum of digits (21), we obtain a triangular number (58311 = T341).

The spelling of 58332 in words is "fifty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 4861 9722 14583 19444 29166 58332