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86048928 = 2532742683
BaseRepresentation
bin1010010000100…
…00000010100000
312222220201221100
411020100002200
5134012031203
612312154400
72063255340
oct510200240
9188821840
1086048928
1144632919
1224998a00
1314a9a734
14b5dcd20
15784aea3
hex52100a0

86048928 has 72 divisors (see below), whose sum is σ = 279665568. Its totient is φ = 24584832.

The previous prime is 86048909. The next prime is 86048983. The reversal of 86048928 is 82984068.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19326 + ... + 23357.

It is an arithmetic number, because the mean of its divisors is an integer number (3884244).

Almost surely, 286048928 is an apocalyptic number.

It is an amenable number.

86048928 is an abundant number, since it is smaller than the sum of its proper divisors (193616640).

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

86048928 is a wasteful number, since it uses less digits than its factorization.

86048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42706 (or 42695 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 86048928 is about 9276.2561413536. The cubic root of 86048928 is about 441.4841890701.

The spelling of 86048928 in words is "eighty-six million, forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 42683 85366 128049 170732 256098 298781 341464 384147 512196 597562 682928 768294 896343 1024392 1195124 1365856 1536588 1792686 2048784 2390248 2689029 3073176 3585372 4097568 4780496 5378058 6146352 7170744 9560992 10756116 12292704 14341488 21512232 28682976 43024464 86048928