Base | Representation |
---|---|
bin | 1100111100111… |
… | …0101110110000 |
3 | 10210012221201100 |
4 | 3033032232300 |
5 | 102401333034 |
6 | 5220204400 |
7 | 1226514300 |
oct | 317165660 |
9 | 123187640 |
10 | 54324144 |
11 | 28734596 |
12 | 16239700 |
13 | b340684 |
14 | 7301600 |
15 | 4b81099 |
hex | 33cebb0 |
54324144 has 90 divisors (see below), whose sum is σ = 176876700. Its totient is φ = 15519168.
The previous prime is 54324143. The next prime is 54324161. The reversal of 54324144 is 44142345.
It is a happy number.
It is a super-2 number, since 2×543241442 = 5902225242665472, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (54324143) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3207 + ... + 10905.
Almost surely, 254324144 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 54324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88438350).
54324144 is an abundant number, since it is smaller than the sum of its proper divisors (122552556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54324144 is a wasteful number, since it uses less digits than its factorization.
54324144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7727 (or 7711 counting only the distinct ones).
The product of its digits is 7680, while the sum is 27.
The square root of 54324144 is about 7370.4914354472. The cubic root of 54324144 is about 378.7310953542.
Adding to 54324144 its reverse (44142345), we get a palindrome (98466489).
The spelling of 54324144 in words is "fifty-four million, three hundred twenty-four thousand, one hundred forty-four".
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