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89852112 = 2433743691
BaseRepresentation
bin1010101101100…
…00100011010000
320021001221221000
411112300203100
5141000231422
612525502000
72140505340
oct526604320
9207057830
1089852112
11467a0249
1226111900
13157cc83c
14bd0cd20
157d4ccac
hex55b08d0

89852112 has 160 divisors (see below), whose sum is σ = 302044160. Its totient is φ = 25038720.

The previous prime is 89852107. The next prime is 89852129. The reversal of 89852112 is 21125898.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129687 + ... + 130377.

It is an arithmetic number, because the mean of its divisors is an integer number (1887776).

Almost surely, 289852112 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 89852112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151022080).

89852112 is an abundant number, since it is smaller than the sum of its proper divisors (212192048).

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

89852112 is a wasteful number, since it uses less digits than its factorization.

89852112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 89852112 is about 9479.0353939628. The cubic root of 89852112 is about 447.8948786094.

The spelling of 89852112 in words is "eighty-nine million, eight hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 84 86 108 112 126 129 144 168 172 189 216 252 258 301 336 344 378 387 432 504 516 602 688 691 756 774 903 1008 1032 1161 1204 1382 1512 1548 1806 2064 2073 2322 2408 2709 2764 3024 3096 3612 4146 4644 4816 4837 5418 5528 6192 6219 7224 8127 8292 9288 9674 10836 11056 12438 14448 14511 16254 16584 18576 18657 19348 21672 24876 29022 29713 32508 33168 37314 38696 43344 43533 49752 58044 59426 65016 74628 77392 87066 89139 99504 116088 118852 130032 130599 149256 174132 178278 207991 232176 237704 261198 267417 298512 348264 356556 415982 475408 522396 534834 623973 696528 713112 802251 831964 1044792 1069668 1247946 1426224 1604502 1663928 1871919 2089584 2139336 2495892 3209004 3327856 3743838 4278672 4991784 5615757 6418008 7487676 9983568 11231514 12836016 14975352 22463028 29950704 44926056 89852112