| Base | Representation |
|---|---|
| bin | 11010000111000… |
| … | …001010100000000 |
| 3 | 1010112021010220000 |
| 4 | 122013001110000 |
| 5 | 1344120014000 |
| 6 | 111244520000 |
| 7 | 13566226605 |
| oct | 3207012400 |
| 9 | 1115233800 |
| 10 | 438048000 |
| 11 | 2052a2a45 |
| 12 | 102850000 |
| 13 | 6c9a3800 |
| 14 | 4226a6ac |
| 15 | 286cc000 |
| hex | 1a1c1500 |
438048000 has 540 divisors, whose sum is σ = 1765151388. Its totient is φ = 107827200.
The previous prime is 438047999. The next prime is 438048007. The reversal of 438048000 is 840834.
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 can be written as a sum of positive squares in 6 ways, for example, as 308634624 + 129413376 = 17568^2 + 11376^2 .
It is a tau number, because it is divible by the number of its divisors (540).
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 (438048007) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33695994 + ... + 33696006.
Almost surely, 2438048000 is an apocalyptic number.
438048000 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 438048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882575694).
438048000 is an abundant number, since it is smaller than the sum of its proper divisors (1327103388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
438048000 is an equidigital number, since it uses as much as digits as its factorization.
438048000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 438048000 is about 20929.5962693980. The cubic root of 438048000 is about 759.4640727706.
Adding to 438048000 its reverse (840834), we get a palindrome (438888834).
The spelling of 438048000 in words is "four hundred thirty-eight million, forty-eight thousand".
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