Base | Representation |
---|---|
bin | 1011011001110… |
… | …1010000000000 |
3 | 10100000000110002 |
4 | 2312131100000 |
5 | 44221030031 |
6 | 4425055132 |
7 | 1120356053 |
oct | 266352000 |
9 | 110000402 |
10 | 47830016 |
11 | 24aa9443 |
12 | 140274a8 |
13 | 9ba87b0 |
14 | 64d0a9a |
15 | 42ebccb |
hex | 2d9d400 |
47830016 has 44 divisors (see below), whose sum is σ = 102996852. Its totient is φ = 22069248.
The previous prime is 47830001. The next prime is 47830031. The reversal of 47830016 is 61003874.
It is an interprime number because it is at equal distance from previous prime (47830001) and next prime (47830031).
It can be written as a sum of positive squares in 2 ways, for example, as 10863616 + 36966400 = 3296^2 + 6080^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11516 + ... + 15108.
Almost surely, 247830016 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 47830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498426).
47830016 is an abundant number, since it is smaller than the sum of its proper divisors (55166836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47830016 is a wasteful number, since it uses less digits than its factorization.
47830016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3626 (or 3608 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 29.
The square root of 47830016 is about 6915.9248116214. The cubic root of 47830016 is about 362.9946091730.
The spelling of 47830016 in words is "forty-seven million, eight hundred thirty thousand, sixteen".
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