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85906365 = 3547121853
BaseRepresentation
bin1010001111011…
…01001110111101
312222122111101020
411013231032331
5133443000430
612305134353
72062122606
oct507551675
9188574336
1085906365
11445457a6
122492a3b9
1314a4a88c
14b5a2dad
15781db10
hex51ed3bd

85906365 has 16 divisors (see below), whose sum is σ = 140375808. Its totient is φ = 44841536.

The previous prime is 85906351. The next prime is 85906367. The reversal of 85906365 is 56360958.

It is a cyclic number.

It is not a de Polignac number, because 85906365 - 24 = 85906349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85906367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60222 + ... + 61631.

It is an arithmetic number, because the mean of its divisors is an integer number (8773488).

Almost surely, 285906365 is an apocalyptic number.

It is an amenable number.

85906365 is a deficient number, since it is larger than the sum of its proper divisors (54469443).

85906365 is a wasteful number, since it uses less digits than its factorization.

85906365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121908.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 85906365 is about 9268.5686597230. The cubic root of 85906365 is about 441.2402421958.

The spelling of 85906365 in words is "eighty-five million, nine hundred six thousand, three hundred sixty-five".

Divisors: 1 3 5 15 47 141 235 705 121853 365559 609265 1827795 5727091 17181273 28635455 85906365