Base | Representation |
---|---|
bin | 111111000111… |
… | …0101001000000 |
3 | 2022021011002201 |
4 | 1332032221000 |
5 | 31432340422 |
6 | 3141122544 |
7 | 551155426 |
oct | 176165100 |
9 | 68234081 |
10 | 33090112 |
11 | 17751100 |
12 | b0b9454 |
13 | 6b17663 |
14 | 4575116 |
15 | 2d89727 |
hex | 1f8ea40 |
33090112 has 42 divisors (see below), whose sum is σ = 72192134. Its totient is φ = 15037440.
The previous prime is 33090103. The next prime is 33090133. The reversal of 33090112 is 21109033.
It can be written as a sum of positive squares in only one way, i.e., 25160256 + 7929856 = 5016^2 + 2816^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 33090112.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5608 + ... + 9880.
Almost surely, 233090112 is an apocalyptic number.
33090112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36096067).
33090112 is an abundant number, since it is smaller than the sum of its proper divisors (39102022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33090112 is a wasteful number, since it uses less digits than its factorization.
33090112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4307 (or 4286 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 19.
The square root of 33090112 is about 5752.4005423823. The cubic root of 33090112 is about 321.0451245589.
Adding to 33090112 its reverse (21109033), we get a palindrome (54199145).
The spelling of 33090112 in words is "thirty-three million, ninety thousand, one hundred twelve".
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