Base | Representation |
---|---|
bin | 1011010001011… |
… | …1000110110100 |
3 | 10021222002202000 |
4 | 2310113012310 |
5 | 44100434224 |
6 | 4405215300 |
7 | 1112610132 |
oct | 264270664 |
9 | 107862660 |
10 | 47280564 |
11 | 24763651 |
12 | 13a01530 |
13 | 9a45686 |
14 | 63ca752 |
15 | 423e0c9 |
hex | 2d171b4 |
47280564 has 48 divisors (see below), whose sum is σ = 125442240. Its totient is φ = 15392160.
The previous prime is 47280529. The next prime is 47280577. The reversal of 47280564 is 46508274.
47280564 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 (36).
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 447 + ... + 9734.
It is an arithmetic number, because the mean of its divisors is an integer number (2613380).
Almost surely, 247280564 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 47280564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62721120).
47280564 is an abundant number, since it is smaller than the sum of its proper divisors (78161676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47280564 is a wasteful number, since it uses less digits than its factorization.
47280564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10237 (or 10229 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 47280564 is about 6876.0863868919. The cubic root of 47280564 is about 361.5992737116.
The spelling of 47280564 in words is "forty-seven million, two hundred eighty thousand, five hundred sixty-four".
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