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58116896 = 2519611567
BaseRepresentation
bin1101110110110…
…0101100100000
311001100122101122
43131230230200
5104334220041
65433351412
71303662005
oct335545440
9131318348
1058116896
112a8950a2
1217568568
13c06aac6
147a0b8ac
15517ec4b
hex376cb20

58116896 has 48 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 27060480.

The previous prime is 58116889. The next prime is 58116923. The reversal of 58116896 is 69861185.

58116896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 36305 + ... + 37871.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 258116896 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 58116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

58116896 is an abundant number, since it is smaller than the sum of its proper divisors (64375264).

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

58116896 is a wasteful number, since it uses less digits than its factorization.

58116896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1649 counting only the distinct ones).

The product of its digits is 103680, while the sum is 44.

The square root of 58116896 is about 7623.4438412046. The cubic root of 58116896 is about 387.3475412729.

The spelling of 58116896 in words is "fifty-eight million, one hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 304 488 608 976 1159 1567 1952 2318 3134 4636 6268 9272 12536 18544 25072 29773 37088 50144 59546 95587 119092 191174 238184 382348 476368 764696 952736 1529392 1816153 3058784 3632306 7264612 14529224 29058448 58116896