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85159764 = 22325344633
BaseRepresentation
bin1010001001101…
…10111101010100
312221020120020100
411010312331110
5133300103024
612241134100
72052563124
oct504667524
9187216210
1085159764
1144085878
122462a330
1314848ac1
14b44ac84
1577227c9
hex5136f54

85159764 has 36 divisors (see below), whose sum is σ = 219331476. Its totient is φ = 27850368.

The previous prime is 85159741. The next prime is 85159771. The reversal of 85159764 is 46795158.

85159764 is a `hidden beast` number, since 8 + 51 + 597 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68757264 + 16402500 = 8292^2 + 4050^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 20409 + ... + 24224.

It is an arithmetic number, because the mean of its divisors is an integer number (6092541).

Almost surely, 285159764 is an apocalyptic number.

It is an amenable number.

85159764 is an abundant number, since it is smaller than the sum of its proper divisors (134171712).

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

85159764 is a wasteful number, since it uses less digits than its factorization.

85159764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44696 (or 44691 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 85159764 is about 9228.2048091706. The cubic root of 85159764 is about 439.9582673918.

The spelling of 85159764 in words is "eighty-five million, one hundred fifty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 44633 89266 133899 178532 267798 401697 535596 803394 1606788 2365549 4731098 7096647 9462196 14193294 21289941 28386588 42579882 85159764