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2424242424 = 233412719091
BaseRepresentation
bin1001000001111111…
…0000000011111000
320020221122021102110
42100133300003320
514431101224144
61040315532320
7114034502112
oct22037600370
96227567373
102424242424
11103447023a
12577a5a0a0
132c8326096
1418dd703b2
15e2c640b9
hex907f00f8

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".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 542 813 984 1084 1626 2168 3252 6504 9091 11111 18182 22222 27273 33333 36364 44444 54546 66666 72728 88888 109092 133332 218184 266664 372731 745462 1118193 1490924 2236386 2463661 2981848 4472772 4927322 7390983 8945544 9854644 14781966 19709288 29563932 59127864 101010101 202020202 303030303 404040404 606060606 808080808 1212121212 2424242424