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24240424 = 2313613821
BaseRepresentation
bin101110001111…
…0000100101000
31200121112121111
41130132010220
522201143144
62223320104
7413016535
oct134360450
950545544
1024240424
111275720a
128150034
135039560
14330dd8c
1521dc534
hex171e128

24240424 has 32 divisors (see below), whose sum is σ = 49762440. Its totient is φ = 11001600.

The previous prime is 24240373. The next prime is 24240427. The reversal of 24240424 is 42404242.

It can be written as a sum of positive squares in 4 ways, for example, as 15132100 + 9108324 = 3890^2 + 3018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24240395 and 24240404.

It is not an unprimeable number, because it can be changed into a prime (24240427) 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, 4434 + ... + 8254.

Almost surely, 224240424 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 24240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24881220).

24240424 is an abundant number, since it is smaller than the sum of its proper divisors (25522016).

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

24240424 is a wasteful number, since it uses less digits than its factorization.

24240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 24240424 is about 4923.4565094047. The cubic root of 24240424 is about 289.4099138725.

Adding to 24240424 its reverse (42404242), we get a palindrome (66644666).

It can be divided in two parts, 2 and 4240424, that multiplied together give a palindrome (8480848).

The spelling of 24240424 in words is "twenty-four million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 3821 6344 7642 15284 30568 49673 99346 198692 233081 397384 466162 932324 1864648 3030053 6060106 12120212 24240424