| Base | Representation |
|---|---|
| bin | 1011010110101… |
| … | …1111011100000 |
| 3 | 10022121202100000 |
| 4 | 2311223323200 |
| 5 | 44143044000 |
| 6 | 4420500000 |
| 7 | 1115555100 |
| oct | 265537340 |
| 9 | 108552300 |
| 10 | 47628000 |
| 11 | 24980692 |
| 12 | 13b4a600 |
| 13 | 9b37864 |
| 14 | 647b200 |
| 15 | 42ac000 |
| hex | 2d6bee0 |
47628000 has 432 divisors, whose sum is σ = 203911344. Its totient is φ = 10886400.
The previous prime is 47627989. The next prime is 47628001. The reversal of 47628000 is 82674.
47628000 = 183 + 193 + ... + 1173.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47628001) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6803997 + ... + 6804003.
It is an arithmetic number, because the mean of its divisors is an integer number (472017).
Almost surely, 247628000 is an apocalyptic number.
47628000 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 47628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955672).
47628000 is an abundant number, since it is smaller than the sum of its proper divisors (156283344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47628000 is an equidigital number, since it uses as much as digits as its factorization.
47628000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 47628000 is about 6901.3042245651. The cubic root of 47628000 is about 362.4828370788.
Multiplying 47628000 by its product of nonzero digits (2688), we get a cube (128024064000 = 50403).
The spelling of 47628000 in words is "forty-seven million, six hundred twenty-eight thousand".
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