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84875112 = 23327295807
BaseRepresentation
bin1010000111100…
…01011101101000
312220201002202200
411003301131220
5133212000422
612231100200
72050266210
oct503613550
9186632680
1084875112
1143a00a23
1224511660
131477937a
14b3b5240
1576b82ac
hex50f1768

84875112 has 96 divisors (see below), whose sum is σ = 271814400. Its totient is φ = 23409792.

The previous prime is 84875111. The next prime is 84875113. The reversal of 84875112 is 21157848.

It is an interprime number because it is at equal distance from previous prime (84875111) and next prime (84875113).

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 (84875111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11713 + ... + 17519.

It is an arithmetic number, because the mean of its divisors is an integer number (2831400).

Almost surely, 284875112 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 84875112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135907200).

84875112 is an abundant number, since it is smaller than the sum of its proper divisors (186939288).

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

84875112 is a wasteful number, since it uses less digits than its factorization.

84875112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5848 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 84875112 is about 9212.7689648661. The cubic root of 84875112 is about 439.4675239159.

The spelling of 84875112 in words is "eighty-four million, eight hundred seventy-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 5807 7308 11614 14616 17421 23228 34842 40649 46456 52263 69684 81298 104526 121947 139368 162596 168403 209052 243894 325192 336806 365841 418104 487788 505209 673612 731682 975576 1010418 1178821 1347224 1463364 1515627 2020836 2357642 2926728 3031254 3536463 4041672 4715284 6062508 7072926 9430568 10609389 12125016 14145852 21218778 28291704 42437556 84875112