| Base | Representation |
|---|---|
| bin | 11010101110011… |
| … | …100001000000000 |
| 3 | 1011020201010201000 |
| 4 | 122232130020000 |
| 5 | 1404241201230 |
| 6 | 112254212000 |
| 7 | 14053115343 |
| oct | 3256341000 |
| 9 | 1136633630 |
| 10 | 448381440 |
| 11 | 210110681 |
| 12 | 1061b4000 |
| 13 | 71b81080 |
| 14 | 4379a45a |
| 15 | 2956db60 |
| hex | 1ab9c200 |
448381440 has 320 divisors, whose sum is σ = 1718640000. Its totient is φ = 110149632.
The previous prime is 448381411. The next prime is 448381463. The reversal of 448381440 is 44183844.
It is a tau number, because it is divible by the number of its divisors (320).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 448381395 and 448381404.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 898311 + ... + 898809.
It is an arithmetic number, because the mean of its divisors is an integer number (5370750).
Almost surely, 2448381440 is an apocalyptic number.
448381440 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 448381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320000).
448381440 is an abundant number, since it is smaller than the sum of its proper divisors (1270258560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
448381440 is a wasteful number, since it uses less digits than its factorization.
448381440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 544 (or 522 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 448381440 is about 21175.0192443832. The cubic root of 448381440 is about 765.3895747403.
The spelling of 448381440 in words is "four hundred forty-eight million, three hundred eighty-one thousand, four hundred forty".
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