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58324 = 2272083
BaseRepresentation
bin1110001111010100
32222000011
432033110
53331244
61130004
7332020
oct161724
988004
1058324
113a902
1229904
1320716
1417380
1512434
hexe3d4

58324 has 12 divisors (see below), whose sum is σ = 116704. Its totient is φ = 24984.

The previous prime is 58321. The next prime is 58337. The reversal of 58324 is 42385.

58324 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 58295 and 58304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1014 + ... + 1069.

258324 is an apocalyptic number.

It is an amenable number.

58324 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (58352).

58324 is a wasteful number, since it uses less digits than its factorization.

58324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 58324 is about 241.5036231612. The cubic root of 58324 is about 38.7807109989.

The spelling of 58324 in words is "fifty-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 2083 4166 8332 14581 29162 58324