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58585152 = 263305131
BaseRepresentation
bin1101111101111…
…1000001000000
311002020102201110
43133133001000
5104444211102
65451403320
71310652123
oct337370100
9132212643
1058585152
113008498a
1217753540
13c1a2c92
147ad03ba
15522386c
hex37df040

58585152 has 28 divisors (see below), whose sum is σ = 155007056. Its totient is φ = 19528320.

The previous prime is 58585147. The next prime is 58585159. The reversal of 58585152 is 25158585.

58585152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58585152.

It is not an unprimeable number, because it can be changed into a prime (58585159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152374 + ... + 152757.

Almost surely, 258585152 is an apocalyptic number.

It is an amenable number.

58585152 is an abundant number, since it is smaller than the sum of its proper divisors (96421904).

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

58585152 is a wasteful number, since it uses less digits than its factorization.

58585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305146 (or 305136 counting only the distinct ones).

The product of its digits is 80000, while the sum is 39.

The square root of 58585152 is about 7654.0938065848. The cubic root of 58585152 is about 388.3850642811.

It can be divided in two parts, 585851 and 52, that added together give a triangular number (585903 = T1082).

The spelling of 58585152 in words is "fifty-eight million, five hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 305131 610262 915393 1220524 1830786 2441048 3661572 4882096 7323144 9764192 14646288 19528384 29292576 58585152