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85131761 = 11131931333
BaseRepresentation
bin1010001001100…
…00000111110001
312221012010211012
411010300013301
5133243204021
612240400305
72052415361
oct504600761
9187163735
1085131761
1144066830
1224616095
1314839130
14b4409a1
15771935b
hex51301f1

85131761 has 16 divisors (see below), whose sum is σ = 105282240. Its totient is φ = 67677120.

The previous prime is 85131737. The next prime is 85131817. The reversal of 85131761 is 16713158.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85131761 is a prime.

It is a super-2 number, since 2×851317612 = 14494833461922242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85131731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12950 + ... + 18383.

It is an arithmetic number, because the mean of its divisors is an integer number (6580140).

Almost surely, 285131761 is an apocalyptic number.

It is an amenable number.

85131761 is a deficient number, since it is larger than the sum of its proper divisors (20150479).

85131761 is a wasteful number, since it uses less digits than its factorization.

85131761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31376.

The product of its digits is 5040, while the sum is 32.

The square root of 85131761 is about 9226.6874337435. The cubic root of 85131761 is about 439.9100384261.

The spelling of 85131761 in words is "eighty-five million, one hundred thirty-one thousand, seven hundred sixty-one".

Divisors: 1 11 13 19 143 209 247 2717 31333 344663 407329 595327 4480619 6548597 7739251 85131761