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85902921 = 32131743189
BaseRepresentation
bin1010001111011…
…00011001001001
312222122022122200
411013230121021
5133442343141
612305110413
72062106556
oct507543111
9188568580
1085902921
1144543155
1224928409
1314a49140
14b5a1a2d
15781cab6
hex51ec649

85902921 has 24 divisors (see below), whose sum is σ = 141490440. Its totient is φ = 49752576.

The previous prime is 85902919. The next prime is 85902931. The reversal of 85902921 is 12920958.

It can be written as a sum of positive squares in 4 ways, for example, as 81225 + 85821696 = 285^2 + 9264^2 .

It is not a de Polignac number, because 85902921 - 21 = 85902919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85902931) 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 23 ways as a sum of consecutive naturals, for example, 19606 + ... + 23583.

It is an arithmetic number, because the mean of its divisors is an integer number (5895435).

Almost surely, 285902921 is an apocalyptic number.

It is an amenable number.

85902921 is a deficient number, since it is larger than the sum of its proper divisors (55587519).

85902921 is a wasteful number, since it uses less digits than its factorization.

85902921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43225 (or 43222 counting only the distinct ones).

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

The square root of 85902921 is about 9268.3828686562. The cubic root of 85902921 is about 441.2343456529.

It can be divided in two parts, 8590 and 2921, that added together give a palindrome (11511).

The spelling of 85902921 in words is "eighty-five million, nine hundred two thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 43189 129567 388701 561457 734213 1684371 2202639 5053113 6607917 9544769 28634307 85902921