Base | Representation |
---|---|
bin | 11010101110101… |
… | …110001000000000 |
3 | 1011020211212211200 |
4 | 122232232020000 |
5 | 1404301031133 |
6 | 112255541200 |
7 | 14053543320 |
oct | 3256561000 |
9 | 1136755750 |
10 | 448455168 |
11 | 210161007 |
12 | 10622a800 |
13 | 71ba87b5 |
14 | 437b9280 |
15 | 29585913 |
hex | 1abae200 |
448455168 has 120 divisors (see below), whose sum is σ = 1479274368. Its totient is φ = 128120832.
The previous prime is 448455143. The next prime is 448455191. The reversal of 448455168 is 861554844.
It is a happy number.
448455168 is a `hidden beast` number, since 4 + 484 + 5 + 5 + 168 = 666.
It is a super-2 number, since 2×4484551682 = 402224075411816448, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25305 + ... + 39207.
Almost surely, 2448455168 is an apocalyptic number.
448455168 is a gapful number since it is divisible by the number (48) 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 448455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739637184).
448455168 is an abundant number, since it is smaller than the sum of its proper divisors (1030819200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
448455168 is a wasteful number, since it uses less digits than its factorization.
448455168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13934 (or 13915 counting only the distinct ones).
The product of its digits is 614400, while the sum is 45.
The square root of 448455168 is about 21176.7600921387. The cubic root of 448455168 is about 765.4315238078.
The spelling of 448455168 in words is "four hundred forty-eight million, four hundred fifty-five thousand, one hundred sixty-eight".
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