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82861168 = 24131313041
BaseRepresentation
bin1001111000001…
…01110001110000
312202220210011011
410330011301300
5132203024133
612120000304
72024210515
oct474056160
9182823134
1082861168
1142855905
1223900094
13142227a0
14b00d30c
15741b6cd
hex4f05c70

82861168 has 40 divisors (see below), whose sum is σ = 174270096. Its totient is φ = 37939200.

The previous prime is 82861159. The next prime is 82861187. The reversal of 82861168 is 86116828.

It is a self number, because there is not a number n which added to its sum of digits gives 82861168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25728 + ... + 28768.

Almost surely, 282861168 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 82861168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87135048).

82861168 is an abundant number, since it is smaller than the sum of its proper divisors (91408928).

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

82861168 is a wasteful number, since it uses less digits than its factorization.

82861168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3187 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 82861168 is about 9102.8109944127. The cubic root of 82861168 is about 435.9637205736.

The spelling of 82861168 in words is "eighty-two million, eight hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 524 1048 1703 2096 3041 3406 6082 6812 12164 13624 24328 27248 39533 48656 79066 158132 316264 398371 632528 796742 1593484 3186968 5178823 6373936 10357646 20715292 41430584 82861168