Base | Representation |
---|---|
bin | 1101000101011… |
… | …1101100110000 |
3 | 10211021110022000 |
4 | 3101113230300 |
5 | 103022311133 |
6 | 5240214000 |
7 | 1234342032 |
oct | 321275460 |
9 | 124243260 |
10 | 54885168 |
11 | 28a88048 |
12 | 1646a300 |
13 | b4a8b40 |
14 | 7409c52 |
15 | 4c42413 |
hex | 3457b30 |
54885168 has 160 divisors (see below), whose sum is σ = 176030400. Its totient is φ = 16257024.
The previous prime is 54885151. The next prime is 54885191. The reversal of 54885168 is 86158845.
54885168 is a `hidden beast` number, since 5 + 488 + 5 + 168 = 666.
54885168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
Its product of digits (307200) is a multiple of the sum of its prime divisors (384).
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 31 ways as a sum of consecutive naturals, for example, 162696 + ... + 163032.
It is an arithmetic number, because the mean of its divisors is an integer number (1100190).
Almost surely, 254885168 is an apocalyptic number.
54885168 is a gapful number since it is divisible by the number (58) 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 54885168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015200).
54885168 is an abundant number, since it is smaller than the sum of its proper divisors (121145232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54885168 is a wasteful number, since it uses less digits than its factorization.
54885168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 396 (or 384 counting only the distinct ones).
The product of its digits is 307200, while the sum is 45.
The square root of 54885168 is about 7408.4524699832. The cubic root of 54885168 is about 380.0303946140.
The spelling of 54885168 in words is "fifty-four million, eight hundred eighty-five thousand, one hundred sixty-eight".
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