Search a number
-
+
286139328 = 26341163223
BaseRepresentation
bin10001000011100…
…010001111000000
3201221102101100220
4101003202033000
51041222424303
644220543040
710043100306
oct2103421700
9657371326
10286139328
11137577792
127b9b1a80
1347386c17
142a006276
151a1c2053
hex110e23c0

286139328 has 112 divisors (see below), whose sum is σ = 783799296. Its totient is φ = 92067840.

The previous prime is 286139311. The next prime is 286139333. The reversal of 286139328 is 823931682.

286139328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (124416) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 286139328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283025 + ... + 1283247.

It is an arithmetic number, because the mean of its divisors is an integer number (6998208).

Almost surely, 2286139328 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 286139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391899648).

286139328 is an abundant number, since it is smaller than the sum of its proper divisors (497659968).

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

286139328 is a wasteful number, since it uses less digits than its factorization.

286139328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 286139328 is about 16915.6533423927. The cubic root of 286139328 is about 658.9601992476.

The spelling of 286139328 in words is "two hundred eighty-six million, one hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 163 164 192 223 246 326 328 446 489 492 652 656 669 892 978 984 1304 1312 1338 1784 1956 1968 2608 2624 2676 3568 3912 3936 5216 5352 6683 7136 7824 7872 9143 10432 10704 13366 14272 15648 18286 20049 21408 26732 27429 31296 36349 36572 40098 42816 53464 54858 72698 73144 80196 106928 109047 109716 145396 146288 160392 213856 218094 219432 290792 292576 320784 427712 436188 438864 581584 585152 641568 872376 877728 1163168 1283136 1490309 1744752 1755456 2326336 2980618 3489504 4470927 5961236 6979008 8941854 11922472 17883708 23844944 35767416 47689888 71534832 95379776 143069664 286139328