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85933215 = 32517112331
BaseRepresentation
bin1010001111100…
…11110010011111
312222200212012200
411013303302133
5133444330330
612305502543
72062264104
oct507636237
9188625180
1085933215
1144563995
1224941a53
1314a59b74
14b5acaab
157826a60
hex51f3c9f

85933215 has 24 divisors (see below), whose sum is σ = 157714128. Its totient is φ = 43134720.

The previous prime is 85933213. The next prime is 85933229. The reversal of 85933215 is 51233958.

It is not a de Polignac number, because 85933215 - 21 = 85933213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85933215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85933213) 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 23 ways as a sum of consecutive naturals, for example, 55401 + ... + 56930.

It is an arithmetic number, because the mean of its divisors is an integer number (6571422).

Almost surely, 285933215 is an apocalyptic number.

85933215 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85933215 is a deficient number, since it is larger than the sum of its proper divisors (71780913).

85933215 is a wasteful number, since it uses less digits than its factorization.

85933215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112359 (or 112356 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 85933215 is about 9270.0169902757. The cubic root of 85933215 is about 441.2862072277.

The spelling of 85933215 in words is "eighty-five million, nine hundred thirty-three thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 112331 336993 561655 1010979 1684965 1909627 5054895 5728881 9548135 17186643 28644405 85933215