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58768388 = 22717331373
BaseRepresentation
bin1110000000101…
…1110000000100
311002120202001222
43200023300010
5110021042023
65455335512
71312344260
oct340136004
9132522058
1058768388
113019a618
1217821598
13c2384c3
147b3b0a0
15525ccc8
hex380bc04

58768388 has 48 divisors (see below), whose sum is σ = 125161344. Its totient is φ = 23569920.

The previous prime is 58768357. The next prime is 58768393. The reversal of 58768388 is 88386785.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157370 + ... + 157742.

It is an arithmetic number, because the mean of its divisors is an integer number (2607528).

Almost surely, 258768388 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 58768388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62580672).

58768388 is an abundant number, since it is smaller than the sum of its proper divisors (66392956).

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

58768388 is a wasteful number, since it uses less digits than its factorization.

58768388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 53.

The square root of 58768388 is about 7666.0542653962. The cubic root of 58768388 is about 388.7895584618.

The spelling of 58768388 in words is "fifty-eight million, seven hundred sixty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 331 373 476 662 746 1324 1492 2317 2611 4634 5222 5627 6341 9268 10444 11254 12682 22508 25364 39389 44387 78778 88774 123463 157556 177548 246926 493852 864241 1728482 2098871 3456964 4197742 8395484 14692097 29384194 58768388