Base | Representation |
---|---|
bin | 11010110000001… |
… | …111111101010000 |
3 | 1011021121020112011 |
4 | 122300033331100 |
5 | 1404401342023 |
6 | 112312312304 |
7 | 14060132515 |
oct | 3260177520 |
9 | 1137536464 |
10 | 448855888 |
11 | 210405088 |
12 | 1063a2694 |
13 | 71cb9000 |
14 | 4388130c |
15 | 2961450d |
hex | 1ac0ff50 |
448855888 has 60 divisors (see below), whose sum is σ = 950507740. Its totient is φ = 205330944.
The previous prime is 448855861. The next prime is 448855889. The reversal of 448855888 is 888558844.
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 447237904 + 1617984 = 21148^2 + 1272^2 .
Its product of digits (13107200) is a multiple of the sum of its prime divisors (128).
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (448855889) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3972120 + ... + 3972232.
Almost surely, 2448855888 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 448855888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475253870).
448855888 is an abundant number, since it is smaller than the sum of its proper divisors (501651852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
448855888 is an equidigital number, since it uses as much as digits as its factorization.
448855888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273 (or 128 counting only the distinct ones).
The product of its digits is 13107200, while the sum is 58.
The square root of 448855888 is about 21186.2192946264. The cubic root of 448855888 is about 765.6594413561.
The spelling of 448855888 in words is "four hundred forty-eight million, eight hundred fifty-five thousand, eight hundred eighty-eight".
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