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285714912 = 25372271873
BaseRepresentation
bin10001000001111…
…010100111100000
3201220121211011210
4101001322213200
51041120334122
644203510120
710036352040
oct2101724740
9656554153
10285714912
1113730792a
127b828340
13472689a2
1429d35720
151a13b40c
hex1107a9e0

285714912 has 96 divisors (see below), whose sum is σ = 861380352. Its totient is φ = 81229824.

The previous prime is 285714887. The next prime is 285714929. The reversal of 285714912 is 219417582.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151608 + ... + 153480.

It is an arithmetic number, because the mean of its divisors is an integer number (8972712).

Almost surely, 2285714912 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 285714912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430690176).

285714912 is an abundant number, since it is smaller than the sum of its proper divisors (575665440).

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

285714912 is a wasteful number, since it uses less digits than its factorization.

285714912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2112 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 285714912 is about 16903.1036203414. The cubic root of 285714912 is about 658.6342372497.

The spelling of 285714912 in words is "two hundred eighty-five million, seven hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 227 336 454 672 681 908 1362 1589 1816 1873 2724 3178 3632 3746 4767 5448 5619 6356 7264 7492 9534 10896 11238 12712 13111 14984 19068 21792 22476 25424 26222 29968 38136 39333 44952 50848 52444 59936 76272 78666 89904 104888 152544 157332 179808 209776 314664 419552 425171 629328 850342 1258656 1275513 1700684 2551026 2976197 3401368 5102052 5952394 6802736 8928591 10204104 11904788 13605472 17857182 20408208 23809576 35714364 40816416 47619152 71428728 95238304 142857456 285714912