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85811796 = 223272291487
BaseRepresentation
bin1010001110101…
…10001001010100
312222110200122200
411013112021110
5133431434141
612303124500
72061250110
oct507261124
9188420580
1085811796
1144490744
12248a3730
1314a16815
14b57a740
157800ab6
hex51d6254

85811796 has 72 divisors (see below), whose sum is σ = 249150720. Its totient is φ = 24394176.

The previous prime is 85811777. The next prime is 85811849. The reversal of 85811796 is 69711858.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (120960) is a multiple of the sum of its prime divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56965 + ... + 58451.

Almost surely, 285811796 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 85811796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124575360).

85811796 is an abundant number, since it is smaller than the sum of its proper divisors (163338924).

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

85811796 is a wasteful number, since it uses less digits than its factorization.

85811796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1728 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 85811796 is about 9263.4656581649. The cubic root of 85811796 is about 441.0782713895.

The spelling of 85811796 in words is "eighty-five million, eight hundred eleven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1487 1603 2061 2748 2974 3206 4122 4461 4809 5948 6412 8244 8922 9618 10409 13383 14427 17844 19236 20818 26766 28854 31227 41636 53532 57708 62454 93681 124908 187362 340523 374724 681046 1021569 1362092 2043138 2383661 3064707 4086276 4767322 6129414 7150983 9534644 12258828 14301966 21452949 28603932 42905898 85811796