Search a number
-
+
282856064 = 2717433023
BaseRepresentation
bin10000110111000…
…000101010000000
3201201020120120112
4100313000222000
51034402343224
644022330452
710003144151
oct2067005200
9651216515
10282856064
11135734a47
127a889a28
13467a766a
14297cd928
1519c7430e
hex10dc0a80

282856064 has 64 divisors (see below), whose sum is σ = 610727040. Its totient is φ = 129970176.

The previous prime is 282856039. The next prime is 282856127. The reversal of 282856064 is 460658282.

282856064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 92057 + ... + 95079.

It is an arithmetic number, because the mean of its divisors is an integer number (9542610).

Almost surely, 2282856064 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 282856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305363520).

282856064 is an abundant number, since it is smaller than the sum of its proper divisors (327870976).

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

282856064 is a wasteful number, since it uses less digits than its factorization.

282856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 282856064 is about 16818.3252436145. The cubic root of 282856064 is about 656.4301164981.

The spelling of 282856064 in words is "two hundred eighty-two million, eight hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 272 344 544 688 731 1088 1376 1462 2176 2752 2924 3023 5504 5848 6046 11696 12092 23392 24184 46784 48368 51391 93568 96736 102782 129989 193472 205564 259978 386944 411128 519956 822256 1039912 1644512 2079824 2209813 3289024 4159648 4419626 6578048 8319296 8839252 16638592 17678504 35357008 70714016 141428032 282856064