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285638304 = 2537425057
BaseRepresentation
bin10001000001100…
…111111010100000
3201220110221002110
4101001213322200
51041110411204
644202115320
710035612510
oct2101477240
9656427073
10285638304
11137265316
127b7abb40
134723cb63
1429d15840
151a123889
hex11067ea0

285638304 has 48 divisors (see below), whose sum is σ = 856916928. Its totient is φ = 81610752.

The previous prime is 285638273. The next prime is 285638323. The reversal of 285638304 is 403836582.

285638304 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 (48).

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, 211857 + ... + 213200.

It is an arithmetic number, because the mean of its divisors is an integer number (17852436).

Almost surely, 2285638304 is an apocalyptic number.

285638304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

285638304 is an abundant number, since it is smaller than the sum of its proper divisors (571278624).

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

285638304 is a wasteful number, since it uses less digits than its factorization.

285638304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425077 (or 425069 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 285638304 is about 16900.8373757042. The cubic root of 285638304 is about 658.5753660232.

The spelling of 285638304 in words is "two hundred eighty-five million, six hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 425057 850114 1275171 1700228 2550342 2975399 3400456 5100684 5950798 6800912 8926197 10201368 11901596 13601824 17852394 20402736 23803192 35704788 40805472 47606384 71409576 95212768 142819152 285638304