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58057792 = 2613312251
BaseRepresentation
bin1101110101111…
…0010001000000
311001020122022121
43131132101000
5104330322132
65432214024
71303324462
oct335362100
9131218277
1058057792
112a854751
121753a314
13c049c30
1479d4132
15516c497
hex375e440

58057792 has 56 divisors (see below), whose sum is σ = 128129792. Its totient is φ = 25920000.

The previous prime is 58057751. The next prime is 58057793. The reversal of 58057792 is 29775085.

It is not an unprimeable number, because it can be changed into a prime (58057793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24667 + ... + 26917.

It is an arithmetic number, because the mean of its divisors is an integer number (2288032).

Almost surely, 258057792 is an apocalyptic number.

58057792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64064896).

58057792 is an abundant number, since it is smaller than the sum of its proper divisors (70072000).

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

58057792 is a wasteful number, since it uses less digits than its factorization.

58057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The square root of 58057792 is about 7619.5663918625. The cubic root of 58057792 is about 387.2161878805.

The spelling of 58057792 in words is "fifty-eight million, fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 2251 3224 4502 6448 9004 12896 18008 25792 29263 36016 58526 69781 72032 117052 139562 144064 234104 279124 468208 558248 907153 936416 1116496 1814306 1872832 2232992 3628612 4465984 7257224 14514448 29028896 58057792