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85907529 = 3225573733
BaseRepresentation
bin1010001111011…
…01100001001001
312222122112222100
411013231201021
5133443020104
612305144013
72062126161
oct507554111
9188575870
1085907529
1144546664
122492b009
1314a4b276
14b5a35a1
15781e139
hex51ed849

85907529 has 12 divisors (see below), whose sum is σ = 124170436. Its totient is φ = 57233952.

The previous prime is 85907527. The next prime is 85907533. The reversal of 85907529 is 92570958.

It is a happy number.

85907529 is a `hidden beast` number, since 8 + 590 + 7 + 52 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41990400 + 43917129 = 6480^2 + 6627^2 .

It is not a de Polignac number, because 85907529 - 21 = 85907527 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85907527) 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, 21147 + ... + 24879.

Almost surely, 285907529 is an apocalyptic number.

It is an amenable number.

85907529 is a deficient number, since it is larger than the sum of its proper divisors (38262907).

85907529 is a wasteful number, since it uses less digits than its factorization.

85907529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 85907529 is about 9268.6314523774. The cubic root of 85907529 is about 441.2422350684.

It can be divided in two parts, 8590752 and 9, that added together give a square (8590761 = 29312).

The spelling of 85907529 in words is "eighty-five million, nine hundred seven thousand, five hundred twenty-nine".

Divisors: 1 3 9 2557 3733 7671 11199 23013 33597 9545281 28635843 85907529