Search a number
-
+
285083328 = 2632715479
BaseRepresentation
bin10000111111100…
…000011011000000
3201212102201210210
4100333200123000
51040440131303
644142154120
710031111505
oct2077403300
9655381723
10285083328
11136a16362
127b582940
13470a737a
1429c0d4ac
151a064203
hex10fe06c0

285083328 has 56 divisors (see below), whose sum is σ = 757204480. Its totient is φ = 94659840.

The previous prime is 285083299. The next prime is 285083333. The reversal of 285083328 is 823380582.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49293 + ... + 54771.

Almost surely, 2285083328 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 285083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378602240).

285083328 is an abundant number, since it is smaller than the sum of its proper divisors (472121152).

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

285083328 is a wasteful number, since it uses less digits than its factorization.

285083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 285083328 is about 16884.4107981297. The cubic root of 285083328 is about 658.1485669527.

The spelling of 285083328 in words is "two hundred eighty-five million, eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1626 2168 3252 4336 5479 6504 8672 10958 13008 16437 17344 21916 26016 32874 43832 52032 65748 87664 131496 175328 262992 350656 525984 1051968 1484809 2969618 4454427 5939236 8908854 11878472 17817708 23756944 35635416 47513888 71270832 95027776 142541664 285083328