Base | Representation |
---|---|
bin | 1011001110111… |
… | …0110000000000 |
3 | 10021122200222210 |
4 | 2303232300000 |
5 | 44030142024 |
6 | 4401502120 |
7 | 1111321200 |
oct | 263566000 |
9 | 107580883 |
10 | 47115264 |
11 | 24660439 |
12 | 13941940 |
13 | 99b8371 |
14 | 6386400 |
15 | 420a129 |
hex | 2ceec00 |
47115264 has 132 divisors (see below), whose sum is σ = 146548824. Its totient is φ = 13418496.
The previous prime is 47115253. The next prime is 47115281. The reversal of 47115264 is 46251174.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150372 + ... + 150684.
Almost surely, 247115264 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 47115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73274412).
47115264 is an abundant number, since it is smaller than the sum of its proper divisors (99433560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47115264 is a wasteful number, since it uses less digits than its factorization.
47115264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 350 (or 325 counting only the distinct ones).
The product of its digits is 6720, while the sum is 30.
The square root of 47115264 is about 6864.0559438280. The cubic root of 47115264 is about 361.1773797504.
The spelling of 47115264 in words is "forty-seven million, one hundred fifteen thousand, two hundred sixty-four".
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