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58082728 = 23112328697
BaseRepresentation
bin1101110110010…
…0010110101000
311001021220112011
43131210112220
5104332121403
65432525304
71303460254
oct335442650
9131256464
1058082728
112a871460
1217550834
13c0583a2
1479dd264
155174a6d
hex37645a8

58082728 has 32 divisors (see below), whose sum is σ = 123975360. Its totient is φ = 25252480.

The previous prime is 58082701. The next prime is 58082729. The reversal of 58082728 is 82728085.

58082728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58082729) 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 7 ways as a sum of consecutive naturals, for example, 12325 + ... + 16372.

It is an arithmetic number, because the mean of its divisors is an integer number (3874230).

Almost surely, 258082728 is an apocalyptic number.

It is an amenable number.

58082728 is an abundant number, since it is smaller than the sum of its proper divisors (65892632).

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

58082728 is a wasteful number, since it uses less digits than its factorization.

58082728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28737 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 58082728 is about 7621.2025297849. The cubic root of 58082728 is about 387.2716167930.

The spelling of 58082728 in words is "fifty-eight million, eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 28697 57394 114788 229576 315667 631334 660031 1262668 1320062 2525336 2640124 5280248 7260341 14520682 29041364 58082728