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58724 = 2253277
BaseRepresentation
bin1110010101100100
32222112222
432111210
53334344
61131512
7333131
oct162544
988488
1058724
1140136
1229b98
1320963
1417588
15125ee
hexe564

58724 has 12 divisors (see below), whose sum is σ = 105084. Its totient is φ = 28704.

The previous prime is 58711. The next prime is 58727. The reversal of 58724 is 42785.

58724 is nontrivially palindromic in base 3 and base 9.

58724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 33124 = 160^2 + 182^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 58693 and 58702.

It is not an unprimeable number, because it can be changed into a prime (58727) 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, 74 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (8757).

258724 is an apocalyptic number.

It is an amenable number.

58724 is a deficient number, since it is larger than the sum of its proper divisors (46360).

58724 is a wasteful number, since it uses less digits than its factorization.

58724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 58724 is about 242.3303530307. The cubic root of 58724 is about 38.8691649034.

The spelling of 58724 in words is "fifty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 53 106 212 277 554 1108 14681 29362 58724