Base | Representation |
---|---|
bin | 1011010111100… |
… | …1011010010000 |
3 | 10022201120002001 |
4 | 2311321122100 |
5 | 44201330331 |
6 | 4422003344 |
7 | 1116205060 |
oct | 265713220 |
9 | 108646061 |
10 | 47683216 |
11 | 24a09119 |
12 | 13b76554 |
13 | 9b56a29 |
14 | 64933a0 |
15 | 42bd561 |
hex | 2d79690 |
47683216 has 40 divisors (see below), whose sum is σ = 108050624. Its totient is φ = 19958400.
The previous prime is 47683193. The next prime is 47683219. The reversal of 47683216 is 61238674.
47683216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a zygodrome in base 6.
It is not an unprimeable number, because it can be changed into a prime (47683219) 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 7 ways as a sum of consecutive naturals, for example, 135 + ... + 9766.
Almost surely, 247683216 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 47683216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025312).
47683216 is an abundant number, since it is smaller than the sum of its proper divisors (60367408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47683216 is a wasteful number, since it uses less digits than its factorization.
47683216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9959 (or 9953 counting only the distinct ones).
The product of its digits is 48384, while the sum is 37.
The square root of 47683216 is about 6905.3034690736. The cubic root of 47683216 is about 362.6228606139.
The spelling of 47683216 in words is "forty-seven million, six hundred eighty-three thousand, two hundred sixteen".
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