Base | Representation |
---|---|
bin | 1011001101110… |
… | …0100100100000 |
3 | 10021111220211212 |
4 | 2303130210200 |
5 | 44020301200 |
6 | 4400125252 |
7 | 1110561122 |
oct | 263344440 |
9 | 107456755 |
10 | 47040800 |
11 | 2460a4a4 |
12 | 13906828 |
13 | 99904c1 |
14 | 6367212 |
15 | 41e3035 |
hex | 2cdc920 |
47040800 has 72 divisors (see below), whose sum is σ = 115992576. Its totient is φ = 18627840.
The previous prime is 47040781. The next prime is 47040809. The reversal of 47040800 is 804074.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47040809) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101369 + ... + 101831.
It is an arithmetic number, because the mean of its divisors is an integer number (1611008).
Almost surely, 247040800 is an apocalyptic number.
47040800 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 47040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57996288).
47040800 is an abundant number, since it is smaller than the sum of its proper divisors (68951776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47040800 is a wasteful number, since it uses less digits than its factorization.
47040800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 610 (or 597 counting only the distinct ones).
The product of its (nonzero) digits is 896, while the sum is 23.
The square root of 47040800 is about 6858.6296007293. The cubic root of 47040800 is about 360.9870034174.
Adding to 47040800 its reverse (804074), we get a palindrome (47844874).
The spelling of 47040800 in words is "forty-seven million, forty thousand, eight hundred".
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