Search a number
-
+
58954974 = 23132531097
BaseRepresentation
bin1110000011100…
…1010011011110
311002221020000120
43200321103132
5110043024344
65503335410
71314052251
oct340712336
9132836016
1058954974
1130307821
12178b1566
13c2a2400
147b89098
155298219
hex38394de

58954974 has 48 divisors (see below), whose sum is σ = 130205232. Its totient is φ = 17781504.

The previous prime is 58954969. The next prime is 58955009. The reversal of 58954974 is 47945985.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53194 + ... + 54290.

It is an arithmetic number, because the mean of its divisors is an integer number (2712609).

Almost surely, 258954974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58954974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65102616).

58954974 is an abundant number, since it is smaller than the sum of its proper divisors (71250258).

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

58954974 is a wasteful number, since it uses less digits than its factorization.

58954974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1168 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 58954974 is about 7678.2142455131. The cubic root of 58954974 is about 389.2005847141.

The spelling of 58954974 in words is "fifty-eight million, nine hundred fifty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1097 1378 2067 2194 3291 4134 6582 8957 14261 17914 26871 28522 42783 53742 58141 85566 116282 174423 185393 348846 370786 556179 755833 1112358 1511666 2267499 4534998 9825829 19651658 29477487 58954974