| Base | Representation |
|---|---|
| bin | 11010101111101… |
| … | …111100111110000 |
| 3 | 1011021100111211200 |
| 4 | 122233233213300 |
| 5 | 1404333122230 |
| 6 | 112305411200 |
| 7 | 14056041414 |
| oct | 3257574760 |
| 9 | 1137314750 |
| 10 | 448723440 |
| 11 | 210324620 |
| 12 | 106339b00 |
| 13 | 71c70939 |
| 14 | 43848d44 |
| 15 | 295da160 |
| hex | 1abef9f0 |
448723440 has 240 divisors, whose sum is σ = 1676544480. Its totient is φ = 106629120.
The previous prime is 448723433. The next prime is 448723453. The reversal of 448723440 is 44327844.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
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 = 448723395 and 448723404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419226 + ... + 420294.
It is an arithmetic number, because the mean of its divisors is an integer number (6985602).
Almost surely, 2448723440 is an apocalyptic number.
448723440 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 448723440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838272240).
448723440 is an abundant number, since it is smaller than the sum of its proper divisors (1227821040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
448723440 is a wasteful number, since it uses less digits than its factorization.
448723440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).
The product of its (nonzero) digits is 86016, while the sum is 36.
The square root of 448723440 is about 21183.0932585399. The cubic root of 448723440 is about 765.5841239096.
The spelling of 448723440 in words is "four hundred forty-eight million, seven hundred twenty-three thousand, four hundred forty".
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