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85883112 = 2333779719
BaseRepresentation
bin1010001111001…
…11100011101000
312222121022111000
411013213203220
5133441224422
612304435000
72061665040
oct507474350
9188538430
1085883112
114452a287
1224918a60
1314a40113
14b598720
157816cac
hex51e78e8

85883112 has 128 divisors (see below), whose sum is σ = 276480000. Its totient is φ = 24193728.

The previous prime is 85883111. The next prime is 85883117. The reversal of 85883112 is 21138858.

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

It is not an unprimeable number, because it can be changed into a prime (85883111) 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, 119089 + ... + 119807.

It is an arithmetic number, because the mean of its divisors is an integer number (2160000).

Almost surely, 285883112 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 85883112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240000).

85883112 is an abundant number, since it is smaller than the sum of its proper divisors (190596888).

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

85883112 is a wasteful number, since it uses less digits than its factorization.

85883112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 85883112 is about 9267.3141740204. The cubic root of 85883112 is about 441.2004271979.

The spelling of 85883112 in words is "eighty-five million, eight hundred eighty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 108 126 158 168 189 216 237 252 316 378 474 504 553 632 711 719 756 948 1106 1422 1438 1512 1659 1896 2133 2157 2212 2844 2876 3318 4266 4314 4424 4977 5033 5688 5752 6471 6636 8532 8628 9954 10066 12942 13272 14931 15099 17064 17256 19413 19908 20132 25884 29862 30198 38826 39816 40264 45297 51768 56801 59724 60396 77652 90594 113602 119448 120792 135891 155304 170403 181188 227204 271782 340806 362376 397607 454408 511209 543564 681612 795214 1022418 1087128 1192821 1363224 1533627 1590428 2044836 2385642 3067254 3180856 3578463 4089672 4771284 6134508 7156926 9542568 10735389 12269016 14313852 21470778 28627704 42941556 85883112