Search a number
-
+
58005752428 = 2213172313672087
BaseRepresentation
bin110110000001011010…
…011000101001101100
312112201112001112101001
4312001122120221230
51422243433034203
642351504330044
74122302521561
oct660132305154
9175645045331
1058005752428
112266680a378
12b2aa013924
135615548240
142b43a94868
15179762991d
hexd81698a6c

58005752428 has 96 divisors (see below), whose sum is σ = 120927873024. Its totient is φ = 24072373248.

The previous prime is 58005752351. The next prime is 58005752429. The reversal of 58005752428 is 82425750085.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (58005752429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27792801 + ... + 27794887.

It is an arithmetic number, because the mean of its divisors is an integer number (1259665344).

Almost surely, 258005752428 is an apocalyptic number.

It is an amenable number.

58005752428 is an abundant number, since it is smaller than the sum of its proper divisors (62922120596).

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

58005752428 is a wasteful number, since it uses less digits than its factorization.

58005752428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 46.

The spelling of 58005752428 in words is "fifty-eight billion, five million, seven hundred fifty-two thousand, four hundred twenty-eight".

Divisors: 1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 598 782 884 1196 1367 1564 2087 2734 4174 5083 5468 8348 10166 17771 20332 23239 27131 31441 35479 35542 46478 48001 54262 62882 70958 71084 92956 96002 108524 125764 141916 192004 302107 408733 461227 534497 604214 624013 816017 817466 922454 1068994 1208428 1248026 1632034 1634932 1844908 2137988 2496052 2852929 3264068 5705858 6948461 10608221 11411716 13896922 21216442 27793844 37088077 42432884 48499793 65617367 74176154 96999586 131234734 148352308 193999172 262469468 630497309 853025771 1115495239 1260994618 1706051542 2230990478 2521989236 3412103084 4461980956 14501438107 29002876214 58005752428