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4839011442 = 23410722609
BaseRepresentation
bin1001000000110110…
…10111010001110010
3110111020110020210000
410200123113101302
534402241331232
62120100450430
7230625630036
oct44033272162
913436406700
104839011442
11206354aa11
12b306a9a16
135c16b31a5
1433c9561c6
151d4c5627c
hex1206d7472

4839011442 has 60 divisors (see below), whose sum is σ = 10949448510. Its totient is φ = 1597316544.

The previous prime is 4839011413. The next prime is 4839011467. The reversal of 4839011442 is 2441109384.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4162959441 + 676052001 = 64521^2 + 26001^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4839011397 and 4839011406.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1853434 + ... + 1856042.

Almost surely, 24839011442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4839011442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474724255).

4839011442 is an abundant number, since it is smaller than the sum of its proper divisors (6110437068).

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

4839011442 is a wasteful number, since it uses less digits than its factorization.

4839011442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4839011442 is about 69563.0033997958. The cubic root of 4839011442 is about 1691.4229396263.

The spelling of 4839011442 in words is "four billion, eight hundred thirty-nine million, eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2609 2889 5218 5778 7827 8667 11449 15654 17334 22898 23481 34347 46962 68694 70443 103041 140886 206082 211329 279163 309123 422658 558326 618246 837489 927369 1674978 1854738 2512467 5024934 7537401 15074802 22612203 29870441 45224406 59740882 89611323 179222646 268833969 537667938 806501907 1613003814 2419505721 4839011442