Base | Representation |
---|---|
bin | 1011001101001… |
… | …0101011001100 |
3 | 10021102212020200 |
4 | 2303102223030 |
5 | 44013002033 |
6 | 4355213500 |
7 | 1110332010 |
oct | 263225314 |
9 | 107385220 |
10 | 47000268 |
11 | 24591aa7 |
12 | 138a7290 |
13 | 9977c13 |
14 | 6356540 |
15 | 41d6013 |
hex | 2cd2acc |
47000268 has 72 divisors (see below), whose sum is σ = 139120800. Its totient is φ = 13098240.
The previous prime is 47000263. The next prime is 47000269. The reversal of 47000268 is 86200074.
47000268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (47000263) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8058 + ... + 12606.
Almost surely, 247000268 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 47000268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69560400).
47000268 is an abundant number, since it is smaller than the sum of its proper divisors (92120532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47000268 is a wasteful number, since it uses less digits than its factorization.
47000268 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4607 (or 4602 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 47000268 is about 6855.6741462820. The cubic root of 47000268 is about 360.8832939455.
The spelling of 47000268 in words is "forty-seven million, two hundred sixty-eight", and thus it is an aban number.
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