Search a number
-
+
58061168 = 2411477019
BaseRepresentation
bin1101110101111…
…1000101110000
311001020210221122
43131133011300
5104330424133
65432241412
71303340354
oct335370560
9131223848
1058061168
112a857240
1217540268
13c04b629
1479d5464
15516d498
hex375f170

58061168 has 40 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 25826240.

The previous prime is 58061153. The next prime is 58061209. The reversal of 58061168 is 86116085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4763 + ... + 11781.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 258061168 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 58061168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

58061168 is an abundant number, since it is smaller than the sum of its proper divisors (67287952).

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

58061168 is a wasteful number, since it uses less digits than its factorization.

58061168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 58061168 is about 7619.7879235580. The cubic root of 58061168 is about 387.2236931407.

The spelling of 58061168 in words is "fifty-eight million, sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 7019 8272 14038 28076 56152 77209 112304 154418 308836 329893 617672 659786 1235344 1319572 2639144 3628823 5278288 7257646 14515292 29030584 58061168