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286074642 = 237279109113
BaseRepresentation
bin10001000011010…
…010011100010010
3201221022002122010
4101003102130102
51041213342032
644215323350
710042410600
oct2103223422
9657262563
10286074642
11137533127
127b980556
1347363649
1429dca870
151a1acccc
hex110d2712

286074642 has 96 divisors (see below), whose sum is σ = 686188800. Its totient is φ = 79252992.

The previous prime is 286074601. The next prime is 286074661. The reversal of 286074642 is 246470682.

It is a self number, because there is not a number n which added to its sum of digits gives 286074642.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531578 + ... + 2531690.

It is an arithmetic number, because the mean of its divisors is an integer number (7147800).

Almost surely, 2286074642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286074642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343094400).

286074642 is an abundant number, since it is smaller than the sum of its proper divisors (400114158).

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

286074642 is a wasteful number, since it uses less digits than its factorization.

286074642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 286074642 is about 16913.7412183112. The cubic root of 286074642 is about 658.9105396264.

The spelling of 286074642 in words is "two hundred eighty-six million, seventy-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 109 113 147 158 218 226 237 294 327 339 474 553 654 678 763 791 1106 1526 1582 1659 2289 2373 3318 3871 4578 4746 5341 5537 7742 8611 8927 10682 11074 11613 12317 16023 16611 17222 17854 23226 24634 25833 26781 32046 33222 36951 51666 53562 60277 62489 73902 86219 120554 124978 172438 180831 187467 258657 361662 374934 421939 437423 517314 603533 843878 874846 973043 1207066 1265817 1312269 1810599 1946086 2531634 2624538 2919129 3621198 5838258 6811301 13622602 20433903 40867806 47679107 95358214 143037321 286074642