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85904897 = 13361641
BaseRepresentation
bin1010001111011…
…00111000000001
312222122102100212
411013230320001
5133442424042
612305123505
72062115411
oct507547001
9188572325
1085904897
1144544691
1224929595
1314a4a000
14b5a2641
15781d482
hex51ece01

85904897 has 16 divisors (see below), whose sum is σ = 94733520. Its totient is φ = 77875200.

The previous prime is 85904887. The next prime is 85904941. The reversal of 85904897 is 79840958.

It can be written as a sum of positive squares in 8 ways, for example, as 64384576 + 21520321 = 8024^2 + 4639^2 .

It is not a de Polignac number, because 85904897 - 214 = 85888513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85904807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133697 + ... + 134337.

It is an arithmetic number, because the mean of its divisors is an integer number (5920845).

Almost surely, 285904897 is an apocalyptic number.

It is an amenable number.

85904897 is a deficient number, since it is larger than the sum of its proper divisors (8828623).

85904897 is an equidigital number, since it uses as much as digits as its factorization.

85904897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 85904897 is about 9268.4894670059. The cubic root of 85904897 is about 441.2377288222.

The spelling of 85904897 in words is "eighty-five million, nine hundred four thousand, eight hundred ninety-seven".

Divisors: 1 13 61 169 641 793 2197 8333 10309 39101 108329 134017 508313 1408277 6608069 85904897