Search a number
-
+
85689536 = 262322531
BaseRepresentation
bin1010001101110…
…00010011000000
312222020110221112
411012320103000
5133414031121
612300342452
72060230502
oct506702300
9188213845
1085689536
11444078a9
1224844a28
13149a2c8a
14b547d72
1577c975b
hex51b84c0

85689536 has 42 divisors (see below), whose sum is σ = 177824892. Its totient is φ = 40965760.

The previous prime is 85689529. The next prime is 85689547. The reversal of 85689536 is 63598658.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32591 + ... + 35121.

It is an arithmetic number, because the mean of its divisors is an integer number (4233926).

Almost surely, 285689536 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 85689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88912446).

85689536 is an abundant number, since it is smaller than the sum of its proper divisors (92135356).

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

85689536 is a wasteful number, since it uses less digits than its factorization.

85689536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2556 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

The square root of 85689536 is about 9256.8642638855. The cubic root of 85689536 is about 440.8686970160.

The spelling of 85689536 in words is "eighty-five million, six hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 2531 4232 5062 8464 10124 16928 20248 33856 40496 58213 80992 116426 161984 232852 465704 931408 1338899 1862816 2677798 3725632 5355596 10711192 21422384 42844768 85689536