Base | Representation |
---|---|
bin | 1001000001111111… |
… | …0000000011111000 |
3 | 20020221122021102110 |
4 | 2100133300003320 |
5 | 14431101224144 |
6 | 1040315532320 |
7 | 114034502112 |
oct | 22037600370 |
9 | 6227567373 |
10 | 2424242424 |
11 | 103447023a |
12 | 577a5a0a0 |
13 | 2c8326096 |
14 | 18dd703b2 |
15 | e2c640b9 |
hex | 907f00f8 |
2424242424 has 64 divisors (see below), whose sum is σ = 6232020480. Its totient is φ = 785376000.
The previous prime is 2424242417. The next prime is 2424242437. The reversal of 2424242424 is 4242424242.
It is a happy number.
It is a nude number because it is divisible by every one of its digits.
2424242424 is an undulating number in base 10.
2424242424 is a modest number, since divided by 242424 gives 2424 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 2424242391 and 2424242400.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262119 + ... + 271209.
It is an arithmetic number, because the mean of its divisors is an integer number (97375320).
Almost surely, 22424242424 is an apocalyptic number.
2424242424 is a gapful number since it is divisible by the number (24) 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 2424242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116010240).
2424242424 is an abundant number, since it is smaller than the sum of its proper divisors (3807778056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2424242424 is a wasteful number, since it uses less digits than its factorization.
2424242424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9412 (or 9408 counting only the distinct ones).
The product of its digits is 32768, while the sum is 30.
The square root of 2424242424 is about 49236.5963892713. The cubic root of 2424242424 is about 1343.3587723832.
Adding to 2424242424 its reverse (4242424242), we get a palindrome (6666666666).
It can be divided in two parts, 24242 and 42424, that added together give a palindrome (66666).
The spelling of 2424242424 in words is "two billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred twenty-four".
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