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85236581 = 4161173197
BaseRepresentation
bin1010001010010…
…01101101100101
312221101110121102
411011021231211
5133310032311
612242525445
72053333103
oct505115545
9187343542
1085236581
1144128561
1224666885
1314874a61
14b46ac73
15773a43b
hex5149b65

85236581 has 16 divisors (see below), whose sum is σ = 89713008. Its totient is φ = 80908800.

The previous prime is 85236559. The next prime is 85236587. The reversal of 85236581 is 18563258.

It can be written as a sum of positive squares in 8 ways, for example, as 43681 + 85192900 = 209^2 + 9230^2 .

It is a cyclic number.

It is not a de Polignac number, because 85236581 - 226 = 18127717 is a prime.

It is a super-2 number, since 2×852365812 = 14530549481139122, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85236587) 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 15 ways as a sum of consecutive naturals, for example, 432575 + ... + 432771.

It is an arithmetic number, because the mean of its divisors is an integer number (5607063).

Almost surely, 285236581 is an apocalyptic number.

It is an amenable number.

85236581 is a deficient number, since it is larger than the sum of its proper divisors (4476427).

85236581 is a wasteful number, since it uses less digits than its factorization.

85236581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its digits is 57600, while the sum is 38.

The square root of 85236581 is about 9232.3659481197. The cubic root of 85236581 is about 440.0905134038.

The spelling of 85236581 in words is "eighty-five million, two hundred thirty-six thousand, five hundred eighty-one".

Divisors: 1 41 61 173 197 2501 7093 8077 10553 12017 34081 432673 492697 1397321 2078941 85236581