Base | Representation |
---|---|
bin | 1011010111011… |
… | …1010100100000 |
3 | 10022201010100000 |
4 | 2311313110200 |
5 | 44201042111 |
6 | 4421500000 |
7 | 1116141111 |
oct | 265672440 |
9 | 108633300 |
10 | 47674656 |
11 | 24a02747 |
12 | 13b71600 |
13 | 9b52b73 |
14 | 6490208 |
15 | 42bac56 |
hex | 2d77520 |
47674656 has 72 divisors (see below), whose sum is σ = 140619024. Its totient is φ = 15888960.
The previous prime is 47674651. The next prime is 47674663. The reversal of 47674656 is 65647674.
It is a happy number.
47674656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (47674651) 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 11 ways as a sum of consecutive naturals, for example, 4711 + ... + 10841.
It is an arithmetic number, because the mean of its divisors is an integer number (1953042).
Almost surely, 247674656 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 47674656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70309512).
47674656 is an abundant number, since it is smaller than the sum of its proper divisors (92944368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47674656 is an equidigital number, since it uses as much as digits as its factorization.
47674656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6156 (or 6136 counting only the distinct ones).
The product of its digits is 846720, while the sum is 45.
The square root of 47674656 is about 6904.6836277993. The cubic root of 47674656 is about 362.6011601938.
The spelling of 47674656 in words is "forty-seven million, six hundred seventy-four thousand, six hundred fifty-six".
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