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285685704 = 23344110753
BaseRepresentation
bin10001000001110…
…011011111001000
3201220120100010000
4101001303133020
51041113420304
644203123000
710036200633
oct2101633710
9656510100
10285685704
11137297997
127b813460
13472585c5
1429d28c1a
151a132939
hex110737c8

285685704 has 80 divisors (see below), whose sum is σ = 819777420. Its totient is φ = 92897280.

The previous prime is 285685667. The next prime is 285685711. The reversal of 285685704 is 407586582.

285685704 is a `hidden beast` number, since 28 + 56 + 8 + 570 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 285677604 + 8100 = 16902^2 + 90^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 285685704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21192 + ... + 31944.

Almost surely, 2285685704 is an apocalyptic number.

285685704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285685704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409888710).

285685704 is an abundant number, since it is smaller than the sum of its proper divisors (534091716).

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

285685704 is a wasteful number, since it uses less digits than its factorization.

285685704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 285685704 is about 16902.2396149149. The cubic root of 285685704 is about 658.6117929138.

The spelling of 285685704 in words is "two hundred eighty-five million, six hundred eighty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 10753 13284 21506 26568 32259 43012 64518 86024 96777 129036 193554 258072 290331 387108 440873 580662 774216 870993 881746 1161324 1322619 1741986 1763492 2322648 2645238 3483972 3526984 3967857 5290476 6967944 7935714 10580952 11903571 15871428 23807142 31742856 35710713 47614284 71421426 95228568 142842852 285685704