| Base | Representation |
|---|---|
| bin | 1011010010011… |
| … | …1110001000000 |
| 3 | 10022002120100021 |
| 4 | 2310213301000 |
| 5 | 44110130200 |
| 6 | 4410503224 |
| 7 | 1113313102 |
| oct | 264476100 |
| 9 | 108076307 |
| 10 | 47348800 |
| 11 | 247aa944 |
| 12 | 13a34b14 |
| 13 | 9a6a755 |
| 14 | 6407572 |
| 15 | 425441a |
| hex | 2d27c40 |
47348800 has 84 divisors (see below), whose sum is σ = 118062756. Its totient is φ = 18688000.
The previous prime is 47348797. The next prime is 47348803. The reversal of 47348800 is 884374.
It is an interprime number because it is at equal distance from previous prime (47348797) and next prime (47348803).
It can be written as a sum of positive squares in 6 ways, for example, as 8111104 + 39237696 = 2848^2 + 6264^2 .
It is a super-2 number, since 2×473488002 = 4483817722880000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (47348803) 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, 161454 + ... + 161746.
It is an arithmetic number, because the mean of its divisors is an integer number (1405509).
Almost surely, 247348800 is an apocalyptic number.
47348800 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 47348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59031378).
47348800 is an abundant number, since it is smaller than the sum of its proper divisors (70713956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47348800 is a wasteful number, since it uses less digits than its factorization.
47348800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 416 (or 401 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 34.
The square root of 47348800 is about 6881.0464320480. The cubic root of 47348800 is about 361.7731452101.
The spelling of 47348800 in words is "forty-seven million, three hundred forty-eight thousand, eight hundred".
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