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58024 = 237253
BaseRepresentation
bin1110001010101000
32221121001
432022220
53324044
61124344
7331111
oct161250
987531
1058024
113a65a
12296b4
1320545
1417208
15122d4
hexe2a8

58024 has 8 divisors (see below), whose sum is σ = 108810. Its totient is φ = 29008.

The previous prime is 58013. The next prime is 58027. The reversal of 58024 is 42085.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 13924 = 210^2 + 118^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 7 and base 9.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 57992 and 58010.

It is not an unprimeable number, because it can be changed into a prime (58027) by changing a digit.

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 as a sum of consecutive naturals, namely, 3619 + ... + 3634.

258024 is an apocalyptic number.

It is an amenable number.

58024 is a deficient number, since it is larger than the sum of its proper divisors (50786).

58024 is a wasteful number, since it uses less digits than its factorization.

58024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 58024 is about 240.8817137103. The cubic root of 58024 is about 38.7141048102.

The spelling of 58024 in words is "fifty-eight thousand, twenty-four".

Divisors: 1 2 4 8 7253 14506 29012 58024