Base | Representation |
---|---|
bin | 1011001101001… |
… | …0111010110000 |
3 | 10021102220121120 |
4 | 2303102322300 |
5 | 44013020024 |
6 | 4355222240 |
7 | 1110334632 |
oct | 263227260 |
9 | 107386546 |
10 | 47001264 |
11 | 24592822 |
12 | 138a7980 |
13 | 99784cb |
14 | 6356a52 |
15 | 41d6479 |
hex | 2cd2eb0 |
47001264 has 40 divisors (see below), whose sum is σ = 121992192. Its totient is φ = 15593280.
The previous prime is 47001263. The next prime is 47001271. The reversal of 47001264 is 46210074.
47001264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (47001263) 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, 8509 + ... + 12899.
Almost surely, 247001264 is an apocalyptic number.
It is an amenable number.
47001264 is an abundant number, since it is smaller than the sum of its proper divisors (74990928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47001264 is a wasteful number, since it uses less digits than its factorization.
47001264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4625 (or 4619 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 24.
The square root of 47001264 is about 6855.7467864559. The cubic root of 47001264 is about 360.8858431311.
The spelling of 47001264 in words is "forty-seven million, one thousand, two hundred sixty-four".
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