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58248 = 2332809
BaseRepresentation
bin1110001110001000
32221220100
432032020
53330443
61125400
7331551
oct161610
987810
1058248
113a843
1229860
1320688
1417328
15123d3
hexe388

58248 has 24 divisors (see below), whose sum is σ = 157950. Its totient is φ = 19392.

The previous prime is 58243. The next prime is 58271. The reversal of 58248 is 84285.

It can be divided in two parts, 5824 and 8, that added together give a cube (5832 = 183).

It can be written as a sum of positive squares in only one way, i.e., 39204 + 19044 = 198^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

58248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333 + ... + 476.

258248 is an apocalyptic number.

It is an amenable number.

58248 is an abundant number, since it is smaller than the sum of its proper divisors (99702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58248 is a wasteful number, since it uses less digits than its factorization.

58248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 58248 is about 241.3462243334. The cubic root of 58248 is about 38.7638590732.

The spelling of 58248 in words is "fifty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 809 1618 2427 3236 4854 6472 7281 9708 14562 19416 29124 58248