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285680256 = 2733720107
BaseRepresentation
bin10001000001110…
…010001010000000
3201220120001122020
4101001302022000
51041113232011
644203041440
710036146021
oct2101621200
9656501566
10285680256
11137293894
127b810280
1347255c94
1429d26c48
151a131006
hex11072280

285680256 has 64 divisors (see below), whose sum is σ = 779386080. Its totient is φ = 92648448.

The previous prime is 285680243. The next prime is 285680281. The reversal of 285680256 is 652086582.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2856802562 = 163226417336451072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4155 + ... + 24261.

Almost surely, 2285680256 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 285680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389693040).

285680256 is an abundant number, since it is smaller than the sum of its proper divisors (493705824).

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

285680256 is a wasteful number, since it uses less digits than its factorization.

285680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20161 (or 20149 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 285680256 is about 16902.0784520721. The cubic root of 285680256 is about 658.6076063319.

The spelling of 285680256 in words is "two hundred eighty-five million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 20107 40214 60321 80428 120642 160856 241284 321712 482568 643424 743959 965136 1286848 1487918 1930272 2231877 2573696 2975836 3860544 4463754 5951672 7721088 8927508 11903344 17855016 23806688 35710032 47613376 71420064 95226752 142840128 285680256