Base | Representation |
---|---|
bin | 100000001100110… |
… | …111100100000000 |
3 | 1101122120020202100 |
4 | 200030313210000 |
5 | 2101300303344 |
6 | 125335150400 |
7 | 16250000022 |
oct | 4014674400 |
9 | 1348506670 |
10 | 540244224 |
11 | 257a54533 |
12 | 130b15400 |
13 | 87c05b50 |
14 | 51a70012 |
15 | 32667569 |
hex | 20337900 |
540244224 has 216 divisors, whose sum is σ = 1777826232. Its totient is φ = 156303360.
The previous prime is 540244213. The next prime is 540244231. The reversal of 540244224 is 422442045.
It can be written as a sum of positive squares in 4 ways, for example, as 92160000 + 448084224 = 9600^2 + 21168^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508654 + ... + 509714.
It is an arithmetic number, because the mean of its divisors is an integer number (8230677).
Almost surely, 2540244224 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 540244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888913116).
540244224 is an abundant number, since it is smaller than the sum of its proper divisors (1237582008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540244224 is a wasteful number, since it uses less digits than its factorization.
540244224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1113 (or 1096 counting only the distinct ones).
The product of its (nonzero) digits is 10240, while the sum is 27.
The square root of 540244224 is about 23243.1543470330. The cubic root of 540244224 is about 814.4480305365.
Adding to 540244224 its reverse (422442045), we get a palindrome (962686269).
The spelling of 540244224 in words is "five hundred forty million, two hundred forty-four thousand, two hundred twenty-four".
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