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4444488888 = 2337412712381
BaseRepresentation
bin1000010001110100…
…11000010010111000
3102110202002102120120
410020322120102320
533100242121023
62013004453240
7215065350360
oct41072302270
912422072516
104444488888
111980886314
12a4054a220
1355aa3baa8
143023b99a0
151b02c58e3
hex108e984b8

4444488888 has 128 divisors (see below), whose sum is σ = 13061744640. Its totient is φ = 1233792000.

The previous prime is 4444488883. The next prime is 4444488907. The reversal of 4444488888 is 8888844444.

It is a Cunningham number, because it is equal to 666672-1.

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444488883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865458 + ... + 1867838.

It is an arithmetic number, because the mean of its divisors is an integer number (102044880).

Almost surely, 24444488888 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 4444488888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530872320).

4444488888 is an abundant number, since it is smaller than the sum of its proper divisors (8617255752).

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

4444488888 is a wasteful number, since it uses less digits than its factorization.

4444488888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2705 counting only the distinct ones).

The product of its digits is 33554432, while the sum is 60.

The square root of 4444488888 is about 66666.9999925000. Note that the first 5 decimals coincide. The cubic root of 4444488888 is about 1644.1468632304.

Subtracting 4444488888 from its reverse (8888844444), we obtain a square (4444355556 = 666662).

The spelling of 4444488888 in words is "four billion, four hundred forty-four million, four hundred eighty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 271 287 328 492 542 574 813 861 984 1084 1148 1626 1722 1897 2168 2296 2381 3252 3444 3794 4762 5691 6504 6888 7143 7588 9524 11111 11382 14286 15176 16667 19048 22222 22764 28572 33333 33334 44444 45528 50001 57144 66666 66668 77777 88888 97621 100002 133332 133336 155554 195242 200004 233331 266664 292863 311108 390484 400008 466662 585726 622216 645251 683347 780968 933324 1171452 1290502 1366694 1866648 1935753 2050041 2342904 2581004 2733388 3871506 4100082 4516757 5162008 5466776 7743012 8200164 9033514 13550271 15486024 16400328 18067028 26455291 27100542 36134056 52910582 54201084 79365873 105821164 108402168 158731746 185187037 211642328 317463492 370374074 555561111 634926984 740748148 1111122222 1481496296 2222244444 4444488888