| Base | Representation |
|---|---|
| bin | 1011010111101… |
| … | …0101010010000 |
| 3 | 10022201211002200 |
| 4 | 2311322222100 |
| 5 | 44202011321 |
| 6 | 4422043200 |
| 7 | 1116226023 |
| oct | 265725220 |
| 9 | 108654080 |
| 10 | 47688336 |
| 11 | 24a11a53 |
| 12 | 13b79500 |
| 13 | 9b59167 |
| 14 | 64951ba |
| 15 | 42bed26 |
| hex | 2d7aa90 |
47688336 has 90 divisors (see below), whose sum is σ = 137209410. Its totient is φ = 15459840.
The previous prime is 47688331. The next prime is 47688359. The reversal of 47688336 is 63388674.
47688336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 41216400 = 2544^2 + 6420^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 47688291 and 47688300.
It is not an unprimeable number, because it can be changed into a prime (47688331) 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 17 ways as a sum of consecutive naturals, for example, 535780 + ... + 535868.
It is an arithmetic number, because the mean of its divisors is an integer number (1524549).
Almost surely, 247688336 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 47688336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68604705).
47688336 is an abundant number, since it is smaller than the sum of its proper divisors (89521074).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47688336 is a wasteful number, since it uses less digits than its factorization.
47688336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 225 (or 155 counting only the distinct ones).
The product of its digits is 580608, while the sum is 45.
The square root of 47688336 is about 6905.6741886654. The cubic root of 47688336 is about 362.6358390631.
The spelling of 47688336 in words is "forty-seven million, six hundred eighty-eight thousand, three hundred thirty-six".
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