Search a number
-
+
58405884 = 223291571069
BaseRepresentation
bin1101111011001…
…1001111111100
311001220022210220
43132303033330
5104422442014
65443501340
71306304355
oct336631774
9131808726
1058405884
112aa72229
1217687850
13c13c4c4
147a84d2c
1551da6a9
hex37b33fc

58405884 has 48 divisors (see below), whose sum is σ = 142010400. Its totient is φ = 18660096.

The previous prime is 58405883. The next prime is 58405889. The reversal of 58405884 is 48850485.

It is a super-2 number, since 2×584058842 = 6822494571642912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58405883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54102 + ... + 55170.

It is an arithmetic number, because the mean of its divisors is an integer number (2958550).

Almost surely, 258405884 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 58405884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71005200).

58405884 is an abundant number, since it is smaller than the sum of its proper divisors (83604516).

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

58405884 is a wasteful number, since it uses less digits than its factorization.

58405884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 58405884 is about 7642.3742384157. The cubic root of 58405884 is about 387.9885124313.

The spelling of 58405884 in words is "fifty-eight million, four hundred five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 157 174 314 348 471 628 942 1069 1884 2138 3207 4276 4553 6414 9106 12828 13659 18212 27318 31001 54636 62002 93003 124004 167833 186006 335666 372012 503499 671332 1006998 2013996 4867157 9734314 14601471 19468628 29202942 58405884