Search a number
-
+
285494688 = 25326311571
BaseRepresentation
bin10001000001000…
…100110110100000
3201220012122002100
4101001010312200
51041041312223
644155050400
710034444013
oct2101046640
9656178070
10285494688
11137177426
127b740a00
13471bc68b
1429cb937a
151a0e6043
hex11044da0

285494688 has 72 divisors (see below), whose sum is σ = 813679776. Its totient is φ = 94953600.

The previous prime is 285494681. The next prime is 285494723. The reversal of 285494688 is 886494582.

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

It is not an unprimeable number, because it can be changed into a prime (285494681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180943 + ... + 182513.

It is an arithmetic number, because the mean of its divisors is an integer number (11301108).

Almost surely, 2285494688 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 285494688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406839888).

285494688 is an abundant number, since it is smaller than the sum of its proper divisors (528185088).

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

285494688 is a wasteful number, since it uses less digits than its factorization.

285494688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2207 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 285494688 is about 16896.5880579483. The cubic root of 285494688 is about 658.4649725472.

The spelling of 285494688 in words is "two hundred eighty-five million, four hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 631 1262 1571 1893 2524 3142 3786 4713 5048 5679 6284 7572 9426 10096 11358 12568 14139 15144 18852 20192 22716 25136 28278 30288 37704 45432 50272 56556 60576 75408 90864 113112 150816 181728 226224 452448 991301 1982602 2973903 3965204 5947806 7930408 8921709 11895612 15860816 17843418 23791224 31721632 35686836 47582448 71373672 95164896 142747344 285494688