Base | Representation |
---|---|
bin | 1011001101010… |
… | …0001101110100 |
3 | 10021110011220110 |
4 | 2303110031310 |
5 | 44013202310 |
6 | 4355303020 |
7 | 1110356265 |
oct | 263241564 |
9 | 107404813 |
10 | 47006580 |
11 | 24596815 |
12 | 138aaa70 |
13 | 997aa5a |
14 | 635896c |
15 | 41d7d20 |
hex | 2cd4374 |
47006580 has 96 divisors (see below), whose sum is σ = 136765440. Its totient is φ = 12055680.
The previous prime is 47006573. The next prime is 47006587. The reversal of 47006580 is 8560074.
It is a happy number.
47006580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (47006573) and next prime (47006587).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47006587) 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 31 ways as a sum of consecutive naturals, for example, 222675 + ... + 222885.
It is an arithmetic number, because the mean of its divisors is an integer number (1424640).
Almost surely, 247006580 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 47006580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68382720).
47006580 is an abundant number, since it is smaller than the sum of its proper divisors (89758860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47006580 is a wasteful number, since it uses less digits than its factorization.
47006580 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 349 (or 347 counting only the distinct ones).
The product of its (nonzero) digits is 6720, while the sum is 30.
The square root of 47006580 is about 6856.1344794279. The cubic root of 47006580 is about 360.8994484164.
It can be divided in two parts, 47006 and 580, that added together give a triangular number (47586 = T308).
The spelling of 47006580 in words is "forty-seven million, six thousand, five hundred eighty".
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