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58293 = 3317127
BaseRepresentation
bin1110001110110101
32221222000
432032311
53331133
61125513
7331644
oct161665
987860
1058293
113a884
1229899
13206c1
141735b
1512413
hexe3b5

58293 has 16 divisors (see below), whose sum is σ = 92160. Its totient is φ = 36288.

The previous prime is 58271. The next prime is 58309. The reversal of 58293 is 39285.

It is not a de Polignac number, because 58293 - 26 = 58229 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

258293 is an apocalyptic number.

58293 is the 153-rd heptagonal number.

It is an amenable number.

58293 is a deficient number, since it is larger than the sum of its proper divisors (33867).

58293 is a wasteful number, since it uses less digits than its factorization.

58293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 58293 is about 241.4394333989. The cubic root of 58293 is about 38.7738389560.

It can be divided in two parts, 5829 and 3, that added together give a cube (5832 = 183).

The spelling of 58293 in words is "fifty-eight thousand, two hundred ninety-three".

Divisors: 1 3 9 17 27 51 127 153 381 459 1143 2159 3429 6477 19431 58293