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58080768 = 29337813
BaseRepresentation
bin1101110110001…
…1111000000000
311001021210211120
43131203320000
5104332041033
65432512240
71303451454
oct335437000
9131253746
1058080768
112a86aa39
121754b680
13c057525
1479dc664
1551741b3
hex3763e00

58080768 has 40 divisors (see below), whose sum is σ = 154734888. Its totient is φ = 19359744.

The previous prime is 58080761. The next prime is 58080779. The reversal of 58080768 is 86708085.

It is a happy number.

It is a super-2 number, since 2×580807682 = 6746751222939648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58080761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17371 + ... + 20442.

Almost surely, 258080768 is an apocalyptic number.

It is an amenable number.

58080768 is an abundant number, since it is smaller than the sum of its proper divisors (96654120).

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

58080768 is an equidigital number, since it uses as much as digits as its factorization.

58080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37834 (or 37818 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 58080768 is about 7621.0739400691. The cubic root of 58080768 is about 387.2672605874.

The spelling of 58080768 in words is "fifty-eight million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 37813 75626 113439 151252 226878 302504 453756 605008 907512 1210016 1815024 2420032 3630048 4840064 7260096 9680128 14520192 19360256 29040384 58080768