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85282641 = 3285711057
BaseRepresentation
bin1010001010101…
…00111101010001
312221110210210100
411011110331101
5133313021031
612243523013
72053614303
oct505247521
9187423710
1085282641
114415a124
1224689469
131488ca02
14b47d973
157748de6
hex5154f51

85282641 has 12 divisors (see below), whose sum is σ = 123340932. Its totient is φ = 56783616.

The previous prime is 85282627. The next prime is 85282667. The reversal of 85282641 is 14628258.

85282641 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 2 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49999041 + 35283600 = 7071^2 + 5940^2 .

It is not a de Polignac number, because 85282641 - 27 = 85282513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85282596 and 85282605.

It is not an unprimeable number, because it can be changed into a prime (85282601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185 + ... + 13241.

It is an arithmetic number, because the mean of its divisors is an integer number (10278411).

Almost surely, 285282641 is an apocalyptic number.

It is an amenable number.

85282641 is a deficient number, since it is larger than the sum of its proper divisors (38058291).

85282641 is a wasteful number, since it uses less digits than its factorization.

85282641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11917 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 85282641 is about 9234.8600963956. The cubic root of 85282641 is about 440.1697709192.

The spelling of 85282641 in words is "eighty-five million, two hundred eighty-two thousand, six hundred forty-one".

Divisors: 1 3 9 857 2571 7713 11057 33171 99513 9475849 28427547 85282641