Base | Representation |
---|---|
bin | 1101000011010… |
… | …1001111000000 |
3 | 10211000021122120 |
4 | 3100311033000 |
5 | 103003302000 |
6 | 5233204240 |
7 | 1233213333 |
oct | 320651700 |
9 | 124007576 |
10 | 54744000 |
11 | 289a0a83 |
12 | 16400680 |
13 | b4597cc |
14 | 73b061a |
15 | 4c156a0 |
hex | 34353c0 |
54744000 has 112 divisors (see below), whose sum is σ = 180843936. Its totient is φ = 14592000.
The previous prime is 54743999. The next prime is 54744007. The reversal of 54744000 is 44745.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54744007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22860 + ... + 25140.
It is an arithmetic number, because the mean of its divisors is an integer number (1614678).
Almost surely, 254744000 is an apocalyptic number.
54744000 is a gapful number since it is divisible by the number (50) 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 54744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90421968).
54744000 is an abundant number, since it is smaller than the sum of its proper divisors (126099936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54744000 is a wasteful number, since it uses less digits than its factorization.
54744000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2311 (or 2291 counting only the distinct ones).
The product of its (nonzero) digits is 2240, while the sum is 24.
The square root of 54744000 is about 7398.9188399387. The cubic root of 54744000 is about 379.7042944188.
Adding to 54744000 its reverse (44745), we get a palindrome (54788745).
The spelling of 54744000 in words is "fifty-four million, seven hundred forty-four thousand".
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