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2424144 = 24350503
BaseRepresentation
bin1001001111110101010000
311120011022010
421033311100
51110033034
6123542520
726414322
oct11176520
94504263
102424144
111406328
1298aa40
1366b508
14471612
1532d3e9
hex24fd50

2424144 has 20 divisors (see below), whose sum is σ = 6262496. Its totient is φ = 808032.

The previous prime is 2424137. The next prime is 2424157. The reversal of 2424144 is 4414242.

2424144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2424144.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 25204 + ... + 25299.

22424144 is an apocalyptic number.

2424144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424144 is an abundant number, since it is smaller than the sum of its proper divisors (3838352).

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

2424144 is a wasteful number, since it uses less digits than its factorization.

2424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50514 (or 50508 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 2424144 is about 1556.9662809451. The cubic root of 2424144 is about 134.3340592060.

Adding to 2424144 its reverse (4414242), we get a palindrome (6838386).

The spelling of 2424144 in words is "two million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 50503 101006 151509 202012 303018 404024 606036 808048 1212072 2424144