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2424104412 = 22323316603
BaseRepresentation
bin1001000001111100…
…1110010111011100
320020221101021002220
42100133032113130
514431032320122
61040312545340
7114033355542
oct22037162734
96227337086
102424104412
111034386584
125779b2250
132c82a8312
1418dd35d92
15e2c3825c
hex907ce5dc

2424104412 has 48 divisors (see below), whose sum is σ = 5913680640. Its totient is φ = 772856304.

The previous prime is 2424104387. The next prime is 2424104429. The reversal of 2424104412 is 2144014242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137703 + ... + 154305.

It is an arithmetic number, because the mean of its divisors is an integer number (123201680).

Almost surely, 22424104412 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 2424104412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956840320).

2424104412 is an abundant number, since it is smaller than the sum of its proper divisors (3489576228).

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

2424104412 is a wasteful number, since it uses less digits than its factorization.

2424104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679 (or 16631 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2424104412 is about 49235.1948508382. The cubic root of 2424104412 is about 1343.3332794502. Note that the first 3 decimals are identical.

Adding to 2424104412 its reverse (2144014242), we get a palindrome (4568118654).

The spelling of 2424104412 in words is "two billion, four hundred twenty-four million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 2116 3174 6348 12167 16603 24334 33206 36501 48668 49809 66412 73002 99618 146004 199236 381869 763738 1145607 1527476 2291214 4582428 8782987 17565974 26348961 35131948 52697922 105395844 202008701 404017402 606026103 808034804 1212052206 2424104412