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58366104 = 2334759877
BaseRepresentation
bin1101111010100…
…1100010011000
311001211022020120
43132221202120
5104420203404
65442553240
71306050366
oct336514230
9131738216
1058366104
112aa45355
1217668820
13c127374
147a74636
1551cd9d9
hex37a9898

58366104 has 64 divisors (see below), whose sum is σ = 151718400. Its totient is φ = 18697344.

The previous prime is 58366097. The next prime is 58366123. The reversal of 58366104 is 40166385.

58366104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×583661042 = 6813204192277632, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 66114 + ... + 66990.

It is an arithmetic number, because the mean of its divisors is an integer number (2370600).

Almost surely, 258366104 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 58366104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75859200).

58366104 is an abundant number, since it is smaller than the sum of its proper divisors (93352296).

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

58366104 is a wasteful number, since it uses less digits than its factorization.

58366104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 58366104 is about 7639.7712007625. The cubic root of 58366104 is about 387.9004066485.

The spelling of 58366104 in words is "fifty-eight million, three hundred sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 59 94 118 141 177 188 236 282 354 376 472 564 708 877 1128 1416 1754 2631 2773 3508 5262 5546 7016 8319 10524 11092 16638 21048 22184 33276 41219 51743 66552 82438 103486 123657 155229 164876 206972 247314 310458 329752 413944 494628 620916 989256 1241832 2431921 4863842 7295763 9727684 14591526 19455368 29183052 58366104