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859900112 = 24295693257
BaseRepresentation
bin110011010000010…
…000100011010000
32012221001110012022
4303100100203100
53230113300422
6221154351012
730211013261
oct6320204320
92187043168
10859900112
11401433755
121bbb8b468
131091c6546
14822bc968
155075a342
hex334108d0

859900112 has 40 divisors (see below), whose sum is σ = 1727065800. Its totient is φ = 414267392.

The previous prime is 859900079. The next prime is 859900117. The reversal of 859900112 is 211009958.

It can be written as a sum of positive squares in 4 ways, for example, as 142945936 + 716954176 = 11956^2 + 26776^2 .

It is a super-2 number, since 2×8599001122 = 1478856405235225088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859900117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262388 + ... + 265644.

It is an arithmetic number, because the mean of its divisors is an integer number (43176645).

Almost surely, 2859900112 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 859900112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863532900).

859900112 is an abundant number, since it is smaller than the sum of its proper divisors (867165688).

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

859900112 is a wasteful number, since it uses less digits than its factorization.

859900112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 859900112 is about 29324.0534715104. The cubic root of 859900112 is about 950.9317219168.

The spelling of 859900112 in words is "eight hundred fifty-nine million, nine hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 569 1138 2276 3257 4552 6514 9104 13028 16501 26056 33002 52112 66004 94453 132008 188906 264016 377812 755624 1511248 1853233 3706466 7412932 14825864 29651728 53743757 107487514 214975028 429950056 859900112