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285485256 = 23337434391
BaseRepresentation
bin10001000001000…
…010100011001000
3201220012011011000
4101001002203020
51041041012011
644154535000
710034404350
oct2101024310
9656164130
10285485256
11137170331
127b737460
13471b82b4
1429cb5b60
151a0e3356
hex110428c8

285485256 has 128 divisors (see below), whose sum is σ = 927590400. Its totient is φ = 79652160.

The previous prime is 285485237. The next prime is 285485257. The reversal of 285485256 is 652584582.

It is a happy number.

285485256 is a `hidden beast` number, since 2 + 8 + 548 + 52 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (285485257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62821 + ... + 67211.

It is an arithmetic number, because the mean of its divisors is an integer number (7246800).

Almost surely, 2285485256 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 285485256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463795200).

285485256 is an abundant number, since it is smaller than the sum of its proper divisors (642105144).

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

285485256 is a wasteful number, since it uses less digits than its factorization.

285485256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4446 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 285485256 is about 16896.3089460391. The cubic root of 285485256 is about 658.4577211454.

The spelling of 285485256 in words is "two hundred eighty-five million, four hundred eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 1032 1161 1204 1512 1548 1806 2322 2408 2709 3096 3612 4391 4644 5418 7224 8127 8782 9288 10836 13173 16254 17564 21672 26346 30737 32508 35128 39519 52692 61474 65016 79038 92211 105384 118557 122948 158076 184422 188813 237114 245896 276633 316152 368844 377626 474228 553266 566439 737688 755252 829899 948456 1106532 1132878 1321691 1510504 1659798 1699317 2213064 2265756 2643382 3319596 3398634 3965073 4531512 5097951 5286764 6639192 6797268 7930146 10195902 10573528 11895219 13594536 15860292 20391804 23790438 31720584 35685657 40783608 47580876 71371314 95161752 142742628 285485256