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85515864 = 2337509023
BaseRepresentation
bin1010001100011…
…01111001011000
312221220122201020
411012031321120
5133343001424
612252522440
72055605250
oct506157130
9187818636
1085515864
11442a9375
1224780420
1314941c05
14b500960
157793079
hex518de58

85515864 has 32 divisors (see below), whose sum is σ = 244331520. Its totient is φ = 24433056.

The previous prime is 85515851. The next prime is 85515869. The reversal of 85515864 is 46851558.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85515869) 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 7 ways as a sum of consecutive naturals, for example, 254344 + ... + 254679.

It is an arithmetic number, because the mean of its divisors is an integer number (7635360).

Almost surely, 285515864 is an apocalyptic number.

85515864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85515864 is an abundant number, since it is smaller than the sum of its proper divisors (158815656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85515864 is a wasteful number, since it uses less digits than its factorization.

85515864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509039 (or 509035 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The square root of 85515864 is about 9247.4787915410. The cubic root of 85515864 is about 440.5706507685.

The spelling of 85515864 in words is "eighty-five million, five hundred fifteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 509023 1018046 1527069 2036092 3054138 3563161 4072184 6108276 7126322 10689483 12216552 14252644 21378966 28505288 42757932 85515864