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285131808 = 25321376157
BaseRepresentation
bin10000111111101…
…100010000100000
3201212112012022100
4100333230100200
51040443204213
644143210400
710031403033
oct2077542040
9655465270
10285131808
11136a49825
127b5a6a00
13470c3460
1429c2301a
151a073773
hex10fec420

285131808 has 72 divisors (see below), whose sum is σ = 873227628. Its totient is φ = 87731712.

The previous prime is 285131807. The next prime is 285131813. The reversal of 285131808 is 808131582.

It can be written as a sum of positive squares in 2 ways, for example, as 242985744 + 42146064 = 15588^2 + 6492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285131807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34335 + ... + 41822.

Almost surely, 2285131808 is an apocalyptic number.

It is an amenable number.

285131808 is an abundant number, since it is smaller than the sum of its proper divisors (588095820).

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

285131808 is a wasteful number, since it uses less digits than its factorization.

285131808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76186 (or 76175 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 285131808 is about 16885.8463809191. The cubic root of 285131808 is about 658.1858721087.

The spelling of 285131808 in words is "two hundred eighty-five million, one hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 76157 152314 228471 304628 456942 609256 685413 913884 990041 1218512 1370826 1827768 1980082 2437024 2741652 2970123 3655536 3960164 5483304 5940246 7311072 7920328 8910369 10966608 11880492 15840656 17820738 21933216 23760984 31681312 35641476 47521968 71282952 95043936 142565904 285131808