Search a number
-
+
285181764 = 22372539151
BaseRepresentation
bin10000111111111…
…000011101000100
3201212121201211120
4100333320131010
51041001304024
644144233540
710032001500
oct2077703504
9655551746
10285181764
11136a8330a
127b60b8b0
134711010a
1429c37300
151a083479
hex10ff8744

285181764 has 72 divisors (see below), whose sum is σ = 788755968. Its totient is φ = 79934400.

The previous prime is 285181733. The next prime is 285181777. The reversal of 285181764 is 467181582.

It is a super-3 number, since 3×2851817643 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26589 + ... + 35739.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944).

Almost surely, 2285181764 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 285181764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394377984).

285181764 is an abundant number, since it is smaller than the sum of its proper divisors (503574204).

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

285181764 is a wasteful number, since it uses less digits than its factorization.

285181764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9216 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 285181764 is about 16887.3255431403. The cubic root of 285181764 is about 658.2243086170.

The spelling of 285181764 in words is "two hundred eighty-five million, one hundred eighty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 5194 7791 9151 10388 15582 18302 27453 31164 36604 54906 64057 109812 128114 192171 256228 384342 448399 485003 768684 896798 970006 1345197 1455009 1793596 1940012 2690394 2910018 3395021 5380788 5820036 6790042 10185063 13580084 20370126 23765147 40740252 47530294 71295441 95060588 142590882 285181764