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58325904 = 24327134451
BaseRepresentation
bin1101111001111…
…1101110010000
311001202021002200
43132133232100
5104412412104
65442043200
71305522240
oct336375620
9131667080
1058325904
112aa1812a
1217649500
13c111c90
147a63b20
1551c1b39
hex379fb90

58325904 has 120 divisors (see below), whose sum is σ = 200945472. Its totient is φ = 15379200.

The previous prime is 58325899. The next prime is 58325909. The reversal of 58325904 is 40952385.

It is an interprime number because it is at equal distance from previous prime (58325899) and next prime (58325909).

It is a super-2 number, since 2×583259042 = 6803822154834432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58325909) 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, 10879 + ... + 15329.

Almost surely, 258325904 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 58325904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100472736).

58325904 is an abundant number, since it is smaller than the sum of its proper divisors (142619568).

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

58325904 is a wasteful number, since it uses less digits than its factorization.

58325904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 58325904 is about 7637.1397787392. The cubic root of 58325904 is about 387.8113299601.

The spelling of 58325904 in words is "fifty-eight million, three hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 4451 6552 8902 13104 13353 17804 26706 31157 35608 40059 53412 57863 62314 71216 80118 93471 106824 115726 124628 160236 173589 186942 213648 231452 249256 280413 320472 347178 373884 405041 462904 498512 520767 560826 640944 694356 747768 810082 925808 1041534 1121652 1215123 1388712 1495536 1620164 2083068 2243304 2430246 2777424 3240328 3645369 4166136 4486608 4860492 6480656 7290738 8332272 9720984 14581476 19441968 29162952 58325904