Base | Representation |
---|---|
bin | 1011001101010… |
… | …0000111111000 |
3 | 10021110011101101 |
4 | 2303110013320 |
5 | 44013144300 |
6 | 4355301144 |
7 | 1110355213 |
oct | 263240770 |
9 | 107404341 |
10 | 47006200 |
11 | 245964aa |
12 | 138aa7b4 |
13 | 997a827 |
14 | 635877a |
15 | 41d7b6a |
hex | 2cd41f8 |
47006200 has 48 divisors (see below), whose sum is σ = 110461680. Its totient is φ = 18600960.
The previous prime is 47006161. The next prime is 47006203. The reversal of 47006200 is 260074.
47006200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47006203) 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, 18189 + ... + 20611.
It is an arithmetic number, because the mean of its divisors is an integer number (2301285).
Almost surely, 247006200 is an apocalyptic number.
47006200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55230840).
47006200 is an abundant number, since it is smaller than the sum of its proper divisors (63455480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47006200 is a wasteful number, since it uses less digits than its factorization.
47006200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2536 (or 2527 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 19.
The square root of 47006200 is about 6856.1067669633. The cubic root of 47006200 is about 360.8984759131.
Adding to 47006200 its reverse (260074), we get a palindrome (47266274).
The spelling of 47006200 in words is "forty-seven million, six thousand, two hundred".
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