Search a number
-
+
285912 = 233211192
BaseRepresentation
bin1000101110011011000
3112112012100
41011303120
533122122
610043400
72300364
oct1056330
9475170
10285912
111858a0
12119560
13a01a3
14762a4
1559aac
hex45cd8

285912 has 72 divisors (see below), whose sum is σ = 891540. Its totient is φ = 82080.

The previous prime is 285871. The next prime is 285937. The reversal of 285912 is 219582.

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

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285912.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15039 + ... + 15057.

2285912 is an apocalyptic number.

285912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445770).

285912 is an abundant number, since it is smaller than the sum of its proper divisors (605628).

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

285912 is a wasteful number, since it uses less digits than its factorization.

285912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 285912 is about 534.7073966199. The cubic root of 285912 is about 65.8785645831.

The spelling of 285912 in words is "two hundred eighty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 361 396 418 456 627 684 722 792 836 1083 1254 1368 1444 1672 1881 2166 2508 2888 3249 3762 3971 4332 5016 6498 7524 7942 8664 11913 12996 15048 15884 23826 25992 31768 35739 47652 71478 95304 142956 285912