Base | Representation |
---|---|
bin | 1100111111111… |
… | …0000100100000 |
3 | 10210120210200222 |
4 | 3033332010200 |
5 | 102424034143 |
6 | 5224302212 |
7 | 1231252514 |
oct | 317760440 |
9 | 123523628 |
10 | 54518048 |
11 | 28857242 |
12 | 16311968 |
13 | b3aaa00 |
14 | 7352144 |
15 | 4bbd768 |
hex | 33fe120 |
54518048 has 72 divisors (see below), whose sum is σ = 123268068. Its totient is φ = 23642112.
The previous prime is 54518033. The next prime is 54518063. The reversal of 54518048 is 84081545.
54518048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (54518033) and next prime (54518063).
It can be written as a sum of positive squares in 6 ways, for example, as 17405584 + 37112464 = 4172^2 + 6092^2 .
It is a junction number, because it is equal to n+sod(n) for n = 54517999 and 54518017.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91640 + ... + 92232.
Almost surely, 254518048 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 54518048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61634034).
54518048 is an abundant number, since it is smaller than the sum of its proper divisors (68750020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54518048 is a wasteful number, since it uses less digits than its factorization.
54518048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 646 (or 625 counting only the distinct ones).
The product of its (nonzero) digits is 25600, while the sum is 35.
The square root of 54518048 is about 7383.6337937360. The cubic root of 54518048 is about 379.1811731411.
The spelling of 54518048 in words is "fifty-four million, five hundred eighteen thousand, forty-eight".
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