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85867912 = 2313899277
BaseRepresentation
bin1010001111000…
…11110110001000
312222120112122001
411013203312020
5133440233122
612304240344
72061602524
oct507436610
9188515561
1085867912
1144519919
12249100b4
1314a36220
14b592d84
157812527
hex51e3d88

85867912 has 32 divisors (see below), whose sum is σ = 175354200. Its totient is φ = 39181824.

The previous prime is 85867891. The next prime is 85867913. The reversal of 85867912 is 21976858.

It can be written as a sum of positive squares in 4 ways, for example, as 60000516 + 25867396 = 7746^2 + 5086^2 .

It is a super-2 number, since 2×858679122 = 14746596622479488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85867913) 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, 4618 + ... + 13894.

Almost surely, 285867912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85867912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87677100).

85867912 is an abundant number, since it is smaller than the sum of its proper divisors (89486288).

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

85867912 is a wasteful number, since it uses less digits than its factorization.

85867912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9381 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 85867912 is about 9266.4940511501. The cubic root of 85867912 is about 441.1743970817.

The spelling of 85867912 in words is "eighty-five million, eight hundred sixty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 4628 9256 9277 18554 37108 74216 120601 241202 482404 825653 964808 1651306 3302612 6605224 10733489 21466978 42933956 85867912