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286089216 = 213371663
BaseRepresentation
bin10001000011010…
…110000000000000
3201221022211121220
4101003112000000
51041214323331
644215515040
710042501230
oct2103260000
9657284556
10286089216
11137543076
127b988a80
134736a17a
1429dd1cc0
151a1b2296
hex110d6000

286089216 has 112 divisors (see below), whose sum is σ = 872361984. Its totient is φ = 81690624.

The previous prime is 286089179. The next prime is 286089227. The reversal of 286089216 is 612980682.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2860892162 = 163694079022989312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171201 + ... + 172863.

Almost surely, 2286089216 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 286089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436180992).

286089216 is an abundant number, since it is smaller than the sum of its proper divisors (586272768).

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

286089216 is an equidigital number, since it uses as much as digits as its factorization.

286089216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 286089216 is about 16914.1720459501. The cubic root of 286089216 is about 658.9217287798.

The spelling of 286089216 in words is "two hundred eighty-six million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1663 1792 2048 2688 3072 3326 3584 4096 4989 5376 6144 6652 7168 8192 9978 10752 11641 12288 13304 14336 19956 21504 23282 24576 26608 28672 34923 39912 43008 46564 53216 57344 69846 79824 86016 93128 106432 139692 159648 172032 186256 212864 279384 319296 372512 425728 558768 638592 745024 851456 1117536 1277184 1490048 1702912 2235072 2554368 2980096 3405824 4470144 5108736 5960192 6811648 8940288 10217472 11920384 13623296 17880576 20434944 23840768 35761152 40869888 47681536 71522304 95363072 143044608 286089216