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85841316 = 223311193803
BaseRepresentation
bin1010001110111…
…01010110100100
312222112012011000
411013131112210
5133433410231
612303513300
72061432141
oct507352644
9188465130
1085841316
1144500940
12248b8830
1314a270a2
14b5873c8
1578096e6
hex51dd5a4

85841316 has 96 divisors (see below), whose sum is σ = 255628800. Its totient is φ = 24636960.

The previous prime is 85841311. The next prime is 85841351. The reversal of 85841316 is 61314858.

It is a super-2 number, since 2×858413162 = 14737463065223712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85841311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20671 + ... + 24473.

It is an arithmetic number, because the mean of its divisors is an integer number (2662800).

Almost surely, 285841316 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 85841316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127814400).

85841316 is an abundant number, since it is smaller than the sum of its proper divisors (169787484).

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

85841316 is a wasteful number, since it uses less digits than its factorization.

85841316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3838 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 85841316 is about 9265.0588773089. The cubic root of 85841316 is about 441.1288438375.

The spelling of 85841316 in words is "eighty-five million, eight hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 3803 5643 7524 7606 11286 11409 15212 22572 22818 34227 41833 45636 68454 72257 83666 102681 125499 136908 144514 167332 205362 216771 250998 289028 376497 410724 433542 501996 650313 752994 794827 867084 1129491 1300626 1505988 1589654 1950939 2258982 2384481 2601252 3179308 3901878 4517964 4768962 7153443 7803756 9537924 14306886 21460329 28613772 42920658 85841316