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85909407 = 3131218599
BaseRepresentation
bin1010001111011…
…01111110011111
312222122122112220
411013231332133
5133443100112
612305200423
72062134513
oct507557637
9188578486
1085909407
1144548011
1224930113
1314a4c08c
14b5a4143
15781e98c
hex51edf9f

85909407 has 8 divisors (see below), whose sum is σ = 115420800. Its totient is φ = 56835480.

The previous prime is 85909387. The next prime is 85909433. The reversal of 85909407 is 70490958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85909407 - 211 = 85907359 is a prime.

It is a super-2 number, since 2×859094072 = 14760852422183298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85909457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108907 + ... + 109692.

It is an arithmetic number, because the mean of its divisors is an integer number (14427600).

Almost surely, 285909407 is an apocalyptic number.

85909407 is a deficient number, since it is larger than the sum of its proper divisors (29511393).

85909407 is a wasteful number, since it uses less digits than its factorization.

85909407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218733.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 85909407 is about 9268.7327612786. The cubic root of 85909407 is about 441.2454503352.

The spelling of 85909407 in words is "eighty-five million, nine hundred nine thousand, four hundred seven".

Divisors: 1 3 131 393 218599 655797 28636469 85909407