| Base | Representation |
|---|---|
| bin | 11010101100111… |
| … | …111000001010000 |
| 3 | 1011012222202120120 |
| 4 | 122230333001100 |
| 5 | 1404142000310 |
| 6 | 112242110240 |
| 7 | 14046636453 |
| oct | 3254770120 |
| 9 | 1135882516 |
| 10 | 448000080 |
| 11 | 20a980100 |
| 12 | 10604b380 |
| 13 | 71a79608 |
| 14 | 436db49a |
| 15 | 294e5b70 |
| hex | 1ab3f050 |
448000080 has 120 divisors (see below), whose sum is σ = 1526631456. Its totient is φ = 108599040.
The previous prime is 448000067. The next prime is 448000093. The reversal of 448000080 is 80000844.
It is an interprime number because it is at equal distance from previous prime (448000067) and next prime (448000093).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 448000080.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21327 + ... + 36753.
Almost surely, 2448000080 is an apocalyptic number.
448000080 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 448000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763315728).
448000080 is an abundant number, since it is smaller than the sum of its proper divisors (1078631376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
448000080 is a wasteful number, since it uses less digits than its factorization.
448000080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15465 (or 15448 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
The square root of 448000080 is about 21166.0123783390. The cubic root of 448000080 is about 765.1725186549.
It can be divided in two parts, 4 and 48000080, that added together give a palindrome (48000084).
The spelling of 448000080 in words is "four hundred forty-eight million, eighty", and thus it is an aban number.
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