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85676825 = 5213263621
BaseRepresentation
bin1010001101101…
…01001100011001
312222012211111202
411012311030121
5133413124300
612300203545
72060145443
oct506651431
9188184452
1085676825
11443a92a3
12248395b5
131499a260
14b543493
1577c5ad5
hex51b5319

85676825 has 12 divisors (see below), whose sum is σ = 114411948. Its totient is φ = 63268800.

The previous prime is 85676819. The next prime is 85676827. The reversal of 85676825 is 52867658.

It can be written as a sum of positive squares in 6 ways, for example, as 151321 + 85525504 = 389^2 + 9248^2 .

It is not a de Polignac number, because 85676825 - 216 = 85611289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85676825.

It is not an unprimeable number, because it can be changed into a prime (85676827) 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, 131486 + ... + 132135.

It is an arithmetic number, because the mean of its divisors is an integer number (9534329).

Almost surely, 285676825 is an apocalyptic number.

It is an amenable number.

85676825 is a deficient number, since it is larger than the sum of its proper divisors (28735123).

85676825 is a wasteful number, since it uses less digits than its factorization.

85676825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263644 (or 263639 counting only the distinct ones).

The product of its digits is 806400, while the sum is 47.

The square root of 85676825 is about 9256.1776668342. The cubic root of 85676825 is about 440.8468967691.

The spelling of 85676825 in words is "eighty-five million, six hundred seventy-six thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 263621 1318105 3427073 6590525 17135365 85676825