Base | Representation |
---|---|
bin | 100000100000… |
… | …0011101100000 |
3 | 1012001210012100 |
4 | 1001000131200 |
5 | 13330304443 |
6 | 1405130400 |
7 | 264563640 |
oct | 101003540 |
9 | 35053170 |
10 | 17041248 |
11 | 968a384 |
12 | 5859a00 |
13 | 36b87a3 |
14 | 2398520 |
15 | 17693d3 |
hex | 1040760 |
17041248 has 144 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 4762368.
The previous prime is 17041237. The next prime is 17041253. The reversal of 17041248 is 84214071.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159211 + ... + 159317.
It is an arithmetic number, because the mean of its divisors is an integer number (393120).
Almost surely, 217041248 is an apocalyptic number.
17041248 is a gapful number since it is divisible by the number (18) 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 17041248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).
17041248 is an abundant number, since it is smaller than the sum of its proper divisors (39568032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17041248 is a wasteful number, since it uses less digits than its factorization.
17041248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 209 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 27.
The square root of 17041248 is about 4128.1046498363. The cubic root of 17041248 is about 257.3359523181.
The spelling of 17041248 in words is "seventeen million, forty-one thousand, two hundred forty-eight".
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