Base | Representation |
---|---|
bin | 1100111100111… |
… | …0111000100000 |
3 | 10210012222120110 |
4 | 3033032320200 |
5 | 102401343033 |
6 | 5220211320 |
7 | 1226516151 |
oct | 317167040 |
9 | 123188513 |
10 | 54324768 |
11 | 28735003 |
12 | 16239b40 |
13 | b340a44 |
14 | 7301928 |
15 | 4b81363 |
hex | 33cee20 |
54324768 has 48 divisors (see below), whose sum is σ = 143470656. Its totient is φ = 17998080.
The previous prime is 54324763. The next prime is 54324773. The reversal of 54324768 is 86742345.
It is a happy number.
54324768 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 (54324763) and next prime (54324773).
It is a tau number, because it is divible by the number of its divisors (48).
It is not an unprimeable number, because it can be changed into a prime (54324761) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 14973 + ... + 18243.
It is an arithmetic number, because the mean of its divisors is an integer number (2988972).
Almost surely, 254324768 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 54324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71735328).
54324768 is an abundant number, since it is smaller than the sum of its proper divisors (89145888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54324768 is a wasteful number, since it uses less digits than its factorization.
54324768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3457 (or 3449 counting only the distinct ones).
The product of its digits is 161280, while the sum is 39.
The square root of 54324768 is about 7370.5337662886. The cubic root of 54324768 is about 378.7325454602.
The spelling of 54324768 in words is "fifty-four million, three hundred twenty-four thousand, seven hundred sixty-eight".
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