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85108596 = 22317795281
BaseRepresentation
bin1010001001010…
…10011101110100
312221010222001020
411010222131310
5133241433341
612240101140
72052261006
oct504523564
9187128036
1085108596
1144050391
12246047b0
131482b721
14b436376
157712566
hex512a774

85108596 has 48 divisors (see below), whose sum is σ = 212970240. Its totient is φ = 26357760.

The previous prime is 85108523. The next prime is 85108633. The reversal of 85108596 is 69580158.

It is a super-2 number, since 2×851085962 = 14486946226182432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13476 + ... + 18756.

It is an arithmetic number, because the mean of its divisors is an integer number (4436880).

Almost surely, 285108596 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 85108596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106485120).

85108596 is an abundant number, since it is smaller than the sum of its proper divisors (127861644).

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

85108596 is a wasteful number, since it uses less digits than its factorization.

85108596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 85108596 is about 9225.4320224042. The cubic root of 85108596 is about 439.8701338500.

The spelling of 85108596 in words is "eighty-five million, one hundred eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5281 5372 8058 10562 15843 16116 21124 31686 63372 89777 179554 269331 359108 417199 538662 834398 1077324 1251597 1668796 2503194 5006388 7092383 14184766 21277149 28369532 42554298 85108596