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58068738 = 2357132101
BaseRepresentation
bin1101110110000…
…0111100000010
311001021012100000
43131200330002
5104331144423
65432340430
71303401420
oct335407402
9131235300
1058068738
112a8619a2
1217544716
13c051c00
1479d8110
155170843
hex3760f02

58068738 has 144 divisors (see below), whose sum is σ = 163066176. Its totient is φ = 15163200.

The previous prime is 58068707. The next prime is 58068781. The reversal of 58068738 is 83786085.

58068738 is a `hidden beast` number, since 580 + 68 + 7 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58068693 and 58068702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 574888 + ... + 574988.

It is an arithmetic number, because the mean of its divisors is an integer number (1132404).

Almost surely, 258068738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58068738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81533088).

58068738 is an abundant number, since it is smaller than the sum of its proper divisors (104997438).

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

58068738 is a wasteful number, since it uses less digits than its factorization.

58068738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 58068738 is about 7620.2846403530. The cubic root of 58068738 is about 387.2405211175.

The spelling of 58068738 in words is "fifty-eight million, sixty-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 101 117 126 162 169 182 189 202 234 243 273 303 338 351 378 486 507 546 567 606 702 707 819 909 1014 1053 1134 1183 1313 1414 1521 1638 1701 1818 2106 2121 2366 2457 2626 2727 3042 3159 3402 3549 3939 4242 4563 4914 5454 6318 6363 7098 7371 7878 8181 9126 9191 10647 11817 12726 13689 14742 16362 17069 18382 19089 21294 22113 23634 24543 27378 27573 31941 34138 35451 38178 41067 44226 49086 51207 55146 57267 63882 70902 82134 82719 95823 102414 106353 114534 119483 153621 165438 171801 191646 212706 238966 248157 287469 307242 319059 343602 358449 460863 496314 574938 638118 716898 744471 921726 1075347 1382589 1488942 2150694 2233413 2765178 3226041 4147767 4466826 6452082 8295534 9678123 19356246 29034369 58068738