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82336856 = 23724147109
BaseRepresentation
bin1001110100001…
…01110001011000
312201221010221012
410322011301120
5132034234411
612100433052
72016565100
oct472056130
9181833835
1082336856
1142527998
12236a8788
131409ac44
14ad14200
15736618b
hex4e85c58

82336856 has 96 divisors (see below), whose sum is σ = 189604800. Its totient is φ = 33384960.

The previous prime is 82336819. The next prime is 82336901. The reversal of 82336856 is 65863328.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 755330 + ... + 755438.

It is an arithmetic number, because the mean of its divisors is an integer number (1975050).

Almost surely, 282336856 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 82336856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400).

82336856 is an abundant number, since it is smaller than the sum of its proper divisors (107267944).

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

82336856 is a wasteful number, since it uses less digits than its factorization.

82336856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 82336856 is about 9073.9658363915. The cubic root of 82336856 is about 435.0422401401.

The spelling of 82336856 in words is "eighty-two million, three hundred thirty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 41 47 49 56 82 94 98 109 164 188 196 218 287 328 329 376 392 436 574 658 763 872 1148 1316 1526 1927 2009 2296 2303 2632 3052 3854 4018 4469 4606 5123 5341 6104 7708 8036 8938 9212 10246 10682 13489 15416 16072 17876 18424 20492 21364 26978 31283 35752 35861 40984 42728 53956 62566 71722 94423 107912 125132 143444 188846 210043 218981 250264 251027 286888 377692 420086 437962 502054 755384 840172 875924 1004108 1470301 1680344 1751848 2008216 2940602 5881204 10292107 11762408 20584214 41168428 82336856