Search a number
-
+
286076352 = 2634136341
BaseRepresentation
bin10001000011010…
…010110111000000
3201221022011222110
4101003102313000
51041213420402
644215335320
710042415562
oct2103226700
9657264873
10286076352
11137534441
127b981540
1347364363
1429dcb332
151a1ad56c
hex110d2dc0

286076352 has 56 divisors (see below), whose sum is σ = 775392912. Its totient is φ = 93030400.

The previous prime is 286076299. The next prime is 286076353. The reversal of 286076352 is 253670682.

It is a self number, because there is not a number n which added to its sum of digits gives 286076352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286076353) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10299 + ... + 26042.

It is an arithmetic number, because the mean of its divisors is an integer number (13846302).

Almost surely, 2286076352 is an apocalyptic number.

It is an amenable number.

286076352 is an abundant number, since it is smaller than the sum of its proper divisors (489316560).

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

286076352 is a wasteful number, since it uses less digits than its factorization.

286076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36397 (or 36387 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 286076352 is about 16913.7917688495. The cubic root of 286076352 is about 658.9118524945.

The spelling of 286076352 in words is "two hundred eighty-six million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 36341 72682 109023 145364 218046 290728 436092 581456 872184 1162912 1489981 1744368 2325824 2979962 3488736 4469943 5959924 6977472 8939886 11919848 17879772 23839696 35759544 47679392 71519088 95358784 143038176 286076352