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85906161 = 32111575527
BaseRepresentation
bin1010001111011…
…01001011110001
312222122111002200
411013231023301
5133442444121
612305133413
72062122165
oct507551361
9188574080
1085906161
1144545630
122492a269
1314a4a763
14b5a2ca5
15781da26
hex51ed2f1

85906161 has 24 divisors (see below), whose sum is σ = 136254144. Its totient is φ = 51723360.

The previous prime is 85906159. The next prime is 85906169. The reversal of 85906161 is 16160958.

85906161 is a `hidden beast` number, since 8 + 590 + 6 + 1 + 61 = 666.

It is not a de Polignac number, because 85906161 - 21 = 85906159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85906169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12780 + ... + 18306.

It is an arithmetic number, because the mean of its divisors is an integer number (5677256).

Almost surely, 285906161 is an apocalyptic number.

It is an amenable number.

85906161 is a deficient number, since it is larger than the sum of its proper divisors (50347983).

85906161 is a wasteful number, since it uses less digits than its factorization.

85906161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 85906161 is about 9268.5576547810. The cubic root of 85906161 is about 441.2398929276.

The spelling of 85906161 in words is "eighty-five million, nine hundred six thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 99 157 471 1413 1727 5181 5527 15543 16581 49743 60797 182391 547173 867739 2603217 7809651 9545129 28635387 85906161