Base | Representation |
---|---|
bin | 1111011000011011100000 |
3 | 21120212011122 |
4 | 33120123200 |
5 | 2013012344 |
6 | 222231412 |
7 | 46162520 |
oct | 17303340 |
9 | 7525148 |
10 | 4032224 |
11 | 2304519 |
12 | 1425568 |
13 | ab2441 |
14 | 76d680 |
15 | 549aee |
hex | 3d86e0 |
4032224 has 48 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 1686912.
The previous prime is 4032221. The next prime is 4032257. The reversal of 4032224 is 4222304.
4032224 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4032221) 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 7 ways as a sum of consecutive naturals, for example, 10337 + ... + 10719.
It is an arithmetic number, because the mean of its divisors is an integer number (193536).
Almost surely, 24032224 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 4032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).
4032224 is an abundant number, since it is smaller than the sum of its proper divisors (5257504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4032224 is a wasteful number, since it uses less digits than its factorization.
4032224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447 (or 439 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 4032224 is about 2008.0398402422. The cubic root of 4032224 is about 159.1652357111.
Adding to 4032224 its reverse (4222304), we get a palindrome (8254528).
The spelling of 4032224 in words is "four million, thirty-two thousand, two hundred twenty-four".
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