Search a number
-
+
58955988 = 22371324153
BaseRepresentation
bin1110000011100…
…1100011010100
311002221021102010
43200321203110
5110043042423
65503344220
71314055230
oct340714324
9132837363
1058955988
1130308563
12178b2070
13c2a2a00
147b895c0
155298693
hex38398d4

58955988 has 72 divisors (see below), whose sum is σ = 170280768. Its totient is φ = 15545088.

The previous prime is 58955971. The next prime is 58955989. The reversal of 58955988 is 88955985.

It is a super-2 number, since 2×589559882 = 6951617042112288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58955989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12120 + ... + 16272.

Almost surely, 258955988 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 58955988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85140384).

58955988 is an abundant number, since it is smaller than the sum of its proper divisors (111324780).

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

58955988 is a wasteful number, since it uses less digits than its factorization.

58955988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4178 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 57.

The square root of 58955988 is about 7678.2802762077. The cubic root of 58955988 is about 389.2028160618.

The spelling of 58955988 in words is "fifty-eight million, nine hundred fifty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4153 4732 7098 8306 12459 14196 16612 24918 29071 49836 53989 58142 87213 107978 116284 161967 174426 215956 323934 348852 377923 647868 701857 755846 1133769 1403714 1511692 2105571 2267538 2807428 4211142 4535076 4912999 8422284 9825998 14738997 19651996 29477994 58955988