Base | Representation |
---|---|
bin | 1101011000101… |
… | …01110010000000 |
3 | 21211021202121011 |
4 | 12230111302000 |
5 | 212221134343 |
6 | 15050410304 |
7 | 2532264622 |
oct | 654256200 |
9 | 254252534 |
10 | 112286848 |
11 | 58423853 |
12 | 31730994 |
13 | 1a35622b |
14 | 10cacc12 |
15 | 9cd029d |
hex | 6b15c80 |
112286848 has 64 divisors (see below), whose sum is σ = 231648120. Its totient is φ = 54190080.
The previous prime is 112286843. The next prime is 112286849. The reversal of 112286848 is 848682211.
It can be written as a sum of positive squares in 4 ways, for example, as 99840064 + 12446784 = 9992^2 + 3528^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a self number, because there is not a number n which added to its sum of digits gives 112286848.
It is not an unprimeable number, because it can be changed into a prime (112286843) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 569886 + ... + 570082.
Almost surely, 2112286848 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 112286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824060).
112286848 is an abundant number, since it is smaller than the sum of its proper divisors (119361272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112286848 is an equidigital number, since it uses as much as digits as its factorization.
112286848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 345 (or 333 counting only the distinct ones).
The product of its digits is 49152, while the sum is 40.
The square root of 112286848 is about 10596.5488721564. The cubic root of 112286848 is about 482.4396165945.
The spelling of 112286848 in words is "one hundred twelve million, two hundred eighty-six thousand, eight hundred forty-eight".
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