Base | Representation |
---|---|
bin | 101110100101… |
… | …1101101000000 |
3 | 1200222000222212 |
4 | 1131023231000 |
5 | 22223133303 |
6 | 2231321252 |
7 | 414425462 |
oct | 135135500 |
9 | 50860885 |
10 | 24427328 |
11 | 12874682 |
12 | 8220228 |
13 | 50a3653 |
14 | 335c132 |
15 | 2227ad8 |
hex | 174bb40 |
24427328 has 28 divisors (see below), whose sum is σ = 49275492. Its totient is φ = 12011520.
The previous prime is 24427327. The next prime is 24427391. The reversal of 24427328 is 82372442.
24427328 is nontrivially palindromic in base 12.
It can be written as a sum of positive squares in 2 ways, for example, as 13191424 + 11235904 = 3632^2 + 3352^2 .
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 24427294 and 24427303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (24427327) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 776 + ... + 7032.
It is an arithmetic number, because the mean of its divisors is an integer number (1759839).
Almost surely, 224427328 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 24427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24637746).
24427328 is an abundant number, since it is smaller than the sum of its proper divisors (24848164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24427328 is an equidigital number, since it uses as much as digits as its factorization.
24427328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6330 (or 6320 counting only the distinct ones).
The product of its digits is 21504, while the sum is 32.
The square root of 24427328 is about 4942.4010359339. The cubic root of 24427328 is about 290.1518348778.
It can be divided in two parts, 244 and 27328, that added together give a palindrome (27572).
The spelling of 24427328 in words is "twenty-four million, four hundred twenty-seven thousand, three hundred twenty-eight".
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