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58369116 = 223132931277
BaseRepresentation
bin1101111010101…
…0010001011100
311001211110101010
43132222101130
5104420302431
65443015220
71306062231
oct336522134
9131743333
1058369116
112aa47643
121766a510
13c128850
147a75788
1551ce846
hex37aa45c

58369116 has 48 divisors (see below), whose sum is σ = 147286944. Its totient is φ = 17884416.

The previous prime is 58369099. The next prime is 58369151. The reversal of 58369116 is 61196385.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45070 + ... + 46346.

It is an arithmetic number, because the mean of its divisors is an integer number (3068478).

Almost surely, 258369116 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 58369116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73643472).

58369116 is an abundant number, since it is smaller than the sum of its proper divisors (88917828).

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

58369116 is a wasteful number, since it uses less digits than its factorization.

58369116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1588 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 58369116 is about 7639.9683245417. The cubic root of 58369116 is about 387.9070791053.

It can be divided in two parts, 58369 and 116, that added together give a palindrome (58485).

The spelling of 58369116 in words is "fifty-eight million, three hundred sixty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 293 586 879 1172 1277 1758 2554 3516 3809 3831 5108 7618 7662 11427 15236 15324 16601 22854 33202 45708 49803 66404 99606 199212 374161 748322 1122483 1496644 2244966 4489932 4864093 9728186 14592279 19456372 29184558 58369116