Search a number
-
+
285831168 = 212373323
BaseRepresentation
bin10001000010010…
…111000000000000
3201220211201122120
4101002113000000
51041133044133
644210204240
710040345010
oct2102270000
9656751576
10285831168
11137387207
127b883680
13472a988c
1429d65c40
151a160ab3
hex11097000

285831168 has 104 divisors (see below), whose sum is σ = 871260288. Its totient is φ = 81641472.

The previous prime is 285831137. The next prime is 285831211. The reversal of 285831168 is 861138582.

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, 84355 + ... + 87677.

Almost surely, 2285831168 is an apocalyptic number.

285831168 is a gapful number since it is divisible by the number (28) 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 285831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435630144).

285831168 is an abundant number, since it is smaller than the sum of its proper divisors (585429120).

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

285831168 is an equidigital number, since it uses as much as digits as its factorization.

285831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3335 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 285831168 is about 16906.5421656825. The cubic root of 285831168 is about 658.7235568193.

The spelling of 285831168 in words is "two hundred eighty-five million, eight hundred thirty-one thousand, one hundred sixty-eight".

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 1792 2048 2688 3072 3323 3584 4096 5376 6144 6646 7168 9969 10752 12288 13292 14336 19938 21504 23261 26584 28672 39876 43008 46522 53168 69783 79752 86016 93044 106336 139566 159504 186088 212672 279132 319008 372176 425344 558264 638016 744352 850688 1116528 1276032 1488704 1701376 2233056 2552064 2977408 3402752 4466112 5104128 5954816 6805504 8932224 10208256 11909632 13611008 17864448 20416512 23819264 35728896 40833024 47638528 71457792 95277056 142915584 285831168