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85206738 = 2359313769
BaseRepresentation
bin1010001010000…
…10011011010010
312221022221200010
411011002123102
5133303103423
612242135350
72053150101
oct505023322
9187287603
1085206738
11441080a1
1224651556
13148642b6
14b460038
157731693
hex51426d2

85206738 has 32 divisors (see below), whose sum is σ = 174081600. Its totient is φ = 27795456.

The previous prime is 85206707. The next prime is 85206749. The reversal of 85206738 is 83760258.

It is a junction number, because it is equal to n+sod(n) for n = 85206696 and 85206705.

It is an unprimeable number.

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, 110418 + ... + 111186.

It is an arithmetic number, because the mean of its divisors is an integer number (5440050).

Almost surely, 285206738 is an apocalyptic number.

85206738 is an abundant number, since it is smaller than the sum of its proper divisors (88874862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85206738 is a wasteful number, since it uses less digits than its factorization.

85206738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 85206738 is about 9230.7495903637. The cubic root of 85206738 is about 440.0391459662.

The spelling of 85206738 in words is "eighty-five million, two hundred six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 59 118 177 313 354 626 769 939 1538 1878 2307 4614 18467 36934 45371 55401 90742 110802 136113 240697 272226 481394 722091 1444182 14201123 28402246 42603369 85206738