Base | Representation |
---|---|
bin | 1011001101001… |
… | …0110011100000 |
3 | 10021102212222101 |
4 | 2303102303200 |
5 | 44013011200 |
6 | 4355220144 |
7 | 1110333400 |
oct | 263226340 |
9 | 107385871 |
10 | 47000800 |
11 | 24592440 |
12 | 138a7654 |
13 | 9978232 |
14 | 6356800 |
15 | 41d626a |
hex | 2cd2ce0 |
47000800 has 216 divisors, whose sum is σ = 146943720. Its totient is φ = 14515200.
The previous prime is 47000797. The next prime is 47000819. The reversal of 47000800 is 800074.
It is a happy number.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431146 + ... + 431254.
It is an arithmetic number, because the mean of its divisors is an integer number (680295).
Almost surely, 247000800 is an apocalyptic number.
47000800 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 47000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).
47000800 is an abundant number, since it is smaller than the sum of its proper divisors (99942920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47000800 is a wasteful number, since it uses less digits than its factorization.
47000800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 154 (or 134 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 19.
The square root of 47000800 is about 6855.7129461494. The cubic root of 47000800 is about 360.8846555631.
Adding to 47000800 its reverse (800074), we get a palindrome (47800874).
The spelling of 47000800 in words is "forty-seven million, eight hundred", and thus it is an aban number.
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