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58275 = 3252737
BaseRepresentation
bin1110001110100011
32221221100
432032203
53331100
61125443
7331620
oct161643
987840
1058275
113a868
1229883
13206a9
1417347
1512400
hexe3a3

58275 has 36 divisors (see below), whose sum is σ = 122512. Its totient is φ = 25920.

The previous prime is 58271. The next prime is 58309. The reversal of 58275 is 57285.

Adding to 58275 its product of digits (2800), we get a triangular number (61075 = T349).

Subtracting from 58275 its reverse (57285), we obtain a triangular number (990 = T44).

It can be divided in two parts, 5827 and 5, that added together give a cube (5832 = 183).

It is a happy number.

It is not a de Polignac number, because 58275 - 22 = 58271 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (58271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1557 + ... + 1593.

258275 is an apocalyptic number.

58275 is an abundant number, since it is smaller than the sum of its proper divisors (64237).

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 (61256).

58275 is a wasteful number, since it uses less digits than its factorization.

58275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 58275 is about 241.4021540915. The cubic root of 58275 is about 38.7698476194.

The spelling of 58275 in words is "fifty-eight thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 63 75 105 111 175 185 225 259 315 333 525 555 777 925 1295 1575 1665 2331 2775 3885 6475 8325 11655 19425 58275