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85155696 = 2432718329
BaseRepresentation
bin1010001001101…
…01111101110000
312221020100122200
411010311331300
5133244440241
612241103200
72052545223
oct504657560
9187210580
1085155696
114408280a
1224627b00
1314846cb2
14b4495ba
1577214b6
hex5135f70

85155696 has 60 divisors (see below), whose sum is σ = 241703280. Its totient is φ = 27982080.

The previous prime is 85155689. The next prime is 85155713. The reversal of 85155696 is 69655158.

It is a happy number.

85155696 is a `hidden beast` number, since 8 + 5 + 1 + 556 + 96 = 666.

It is a super-2 number, since 2×851556962 = 14502985122488832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6060 + ... + 14388.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 285155696 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 85155696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

85155696 is an abundant number, since it is smaller than the sum of its proper divisors (156547584).

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

85155696 is a wasteful number, since it uses less digits than its factorization.

85155696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414 (or 8405 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 85155696 is about 9227.9843953054. The cubic root of 85155696 is about 439.9512618192.

The spelling of 85155696 in words is "eighty-five million, one hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 8329 10224 16658 24987 33316 49974 66632 74961 99948 133264 149922 199896 299844 399792 591359 599688 1182718 1199376 1774077 2365436 3548154 4730872 5322231 7096308 9461744 10644462 14192616 21288924 28385232 42577848 85155696