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58708272 = 24372109229
BaseRepresentation
bin1101111111110…
…1000100110000
311002110200121110
43133331010300
5110012131042
65454153320
71312004100
oct337750460
9132420543
1058708272
1130159437
12177b2840
13c21702c
147b23200
15524a09c
hex37fd130

58708272 has 120 divisors (see below), whose sum is σ = 178820400. Its totient is φ = 16547328.

The previous prime is 58708253. The next prime is 58708277. The reversal of 58708272 is 27280785.

It is a super-2 number, since 2×587082722 = 6893322402451968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58708272.

It is not an unprimeable number, because it can be changed into a prime (58708277) 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, 256254 + ... + 256482.

It is an arithmetic number, because the mean of its divisors is an integer number (1490170).

Almost surely, 258708272 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 58708272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89410200).

58708272 is an abundant number, since it is smaller than the sum of its proper divisors (120112128).

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

58708272 is a wasteful number, since it uses less digits than its factorization.

58708272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 58708272 is about 7662.1323402823. The cubic root of 58708272 is about 388.6569449491.

The spelling of 58708272 in words is "fifty-eight million, seven hundred eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 109 112 147 168 196 218 229 294 327 336 392 436 458 588 654 687 763 784 872 916 1176 1308 1374 1526 1603 1744 1832 2289 2352 2616 2748 3052 3206 3664 4578 4809 5232 5341 5496 6104 6412 9156 9618 10682 10992 11221 12208 12824 16023 18312 19236 21364 22442 24961 25648 32046 33663 36624 38472 42728 44884 49922 64092 67326 74883 76944 85456 89768 99844 128184 134652 149766 174727 179536 199688 256368 269304 299532 349454 399376 524181 538608 599064 698908 1048362 1198128 1223089 1397816 2096724 2446178 2795632 3669267 4193448 4892356 7338534 8386896 9784712 14677068 19569424 29354136 58708272