Search a number
-
+
544382224 = 241923072
BaseRepresentation
bin100000011100101…
…001110100010000
31101221100111000121
4200130221310100
52103330212344
6130004000024
716330113121
oct4034516420
91357314017
10544382224
1125a320471
12132390014
1388a24479
145242a048
1532bd3684
hex20729d10

544382224 has 45 divisors (see below), whose sum is σ = 1116812727. Its totient is φ = 257025312.

The previous prime is 544382213. The next prime is 544382261. The reversal of 544382224 is 422283445.

The square root of 544382224 is 23332.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 544382224.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1773079 + ... + 1773385.

Almost surely, 2544382224 is an apocalyptic number.

544382224 is the 23332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544382224

544382224 is an abundant number, since it is smaller than the sum of its proper divisors (572430503).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

544382224 is an equidigital number, since it uses as much as digits as its factorization.

544382224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 328 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The cubic root of 544382224 is about 816.5221651501.

The spelling of 544382224 in words is "five hundred forty-four million, three hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 307 361 614 722 1228 1444 2456 2888 4912 5776 5833 11666 23332 46664 93328 94249 110827 188498 221654 376996 443308 753992 886616 1507984 1773232 1790731 3581462 7162924 14325848 28651696 34023889 68047778 136095556 272191112 544382224