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58380296 = 23131912939
BaseRepresentation
bin1101111010110…
…1000000001000
311001212000201012
43132231000020
5104421132141
65443143052
71306136642
oct336550010
9131760635
1058380296
112aa54a87
1217674a88
13c130970
147a79892
1551d2ceb
hex37ad008

58380296 has 32 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 26794560.

The previous prime is 58380271. The next prime is 58380317. The reversal of 58380296 is 69208385.

It is a super-2 number, since 2×583802962 = 6816517922095232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18395 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 258380296 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 58380296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

58380296 is an abundant number, since it is smaller than the sum of its proper divisors (60160504).

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

58380296 is a wasteful number, since it uses less digits than its factorization.

58380296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 58380296 is about 7640.6999679349. The cubic root of 58380296 is about 387.9318440528.

The spelling of 58380296 in words is "fifty-eight million, three hundred eighty thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 104 191 382 764 1528 2483 2939 4966 5878 9932 11756 19864 23512 38207 76414 152828 305656 561349 1122698 2245396 4490792 7297537 14595074 29190148 58380296