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58545344 = 2611136397
BaseRepresentation
bin1101111101010…
…1010011000000
311002011102010002
43133111103000
5104441422334
65450455132
71310425064
oct337252300
9132142102
1058545344
1130057a90
12177344a8
13c18ab20
147abdaa4
155216b7e
hex37d54c0

58545344 has 56 divisors (see below), whose sum is σ = 136507728. Its totient is φ = 24560640.

The previous prime is 58545323. The next prime is 58545353. The reversal of 58545344 is 44354585.

58545344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58545298 and 58545307.

It is an unprimeable number.

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, 5954 + ... + 12350.

It is an arithmetic number, because the mean of its divisors is an integer number (2437638).

Almost surely, 258545344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68253864).

58545344 is an abundant number, since it is smaller than the sum of its proper divisors (77962384).

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

58545344 is a wasteful number, since it uses less digits than its factorization.

58545344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6423 counting only the distinct ones).

The product of its digits is 192000, while the sum is 38.

The square root of 58545344 is about 7651.4929262203. The cubic root of 58545344 is about 388.2970764818.

The spelling of 58545344 in words is "fifty-eight million, five hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 6397 9152 12794 25588 51176 70367 83161 102352 140734 166322 204704 281468 332644 409408 562936 665288 914771 1125872 1330576 1829542 2251744 2661152 3659084 4503488 5322304 7318168 14636336 29272672 58545344