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58311252 = 223619997
BaseRepresentation
bin1101111001110…
…0001001010100
311001201112000000
43132130021110
5104411430002
65441451300
71305431436
oct336341124
9131645000
1058311252
112aa0811a
1217640b30
13c1083cc
147a5c656
1551bc61c
hex379c254

58311252 has 42 divisors (see below), whose sum is σ = 153004698. Its totient is φ = 19436112.

The previous prime is 58311251. The next prime is 58311263. The reversal of 58311252 is 25211385.

It is a happy number.

58311252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 56340036 + 1971216 = 7506^2 + 1404^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58311251) 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 13 ways as a sum of consecutive naturals, for example, 7083 + ... + 12914.

It is an arithmetic number, because the mean of its divisors is an integer number (3642969).

Almost surely, 258311252 is an apocalyptic number.

It is an amenable number.

58311252 is an abundant number, since it is smaller than the sum of its proper divisors (94693446).

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

58311252 is a wasteful number, since it uses less digits than its factorization.

58311252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20019 (or 20002 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 58311252 is about 7636.1804588420. The cubic root of 58311252 is about 387.7788533240.

The spelling of 58311252 in words is "fifty-eight million, three hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 19997 39994 59991 79988 119982 179973 239964 359946 539919 719892 1079838 1619757 2159676 3239514 4859271 6479028 9718542 14577813 19437084 29155626 58311252