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285880464 = 243214092
BaseRepresentation
bin10001000010100…
…011000010010000
3201220221020021100
4101002203002100
51041141133324
644211224400
710040641512
oct2102430220
9656836240
10285880464
11137410251
127b8a8100
13472c614c
1429d79bb2
151a1704c9
hex110a3090

285880464 has 45 divisors (see below), whose sum is σ = 800636473. Its totient is φ = 95225856.

The previous prime is 285880459. The next prime is 285880477. The reversal of 285880464 is 464088582.

The square root of 285880464 is 16908.

It is a perfect power (a square), and thus also a powerful number.

285880464 is a `hidden beast` number, since 2 + 8 + 588 + 0 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3640464 + 282240000 = 1908^2 + 16800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 202192 + ... + 203600.

Almost surely, 2285880464 is an apocalyptic number.

285880464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

285880464 is the 16908-th square number.

It is an amenable number.

285880464 is an abundant number, since it is smaller than the sum of its proper divisors (514756009).

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

285880464 is an equidigital number, since it uses as much as digits as its factorization.

285880464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The cubic root of 285880464 is about 658.7614236599.

The spelling of 285880464 in words is "two hundred eighty-five million, eight hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1409 2818 4227 5636 8454 11272 12681 16908 22544 25362 33816 50724 67632 101448 202896 1985281 3970562 5955843 7941124 11911686 15882248 17867529 23823372 31764496 35735058 47646744 71470116 95293488 142940232 285880464