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4433883344 = 2411273137229
BaseRepresentation
bin1000010000100011…
…11011000011010000
3102110000010121111122
410020101323003100
533040033231334
62011545301412
7214606246412
oct41021730320
912400117448
104433883344
1119758a2200
12a38a94868
13558797717
14300c189b2
151ae3cd32e
hex10847b0d0

4433883344 has 120 divisors (see below), whose sum is σ = 9683937480. Its totient is φ = 1964666880.

The previous prime is 4433883343. The next prime is 4433883347.

4433883344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1974913600 + 2458969744 = 44440^2 + 49588^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4433883295 and 4433883304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4433883343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19361822 + ... + 19362050.

It is an arithmetic number, because the mean of its divisors is an integer number (80699479).

Almost surely, 24433883344 is an apocalyptic number.

4433883344 is a gapful number since it is divisible by the number (44) 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 4433883344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841968740).

4433883344 is an abundant number, since it is smaller than the sum of its proper divisors (5250054136).

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

4433883344 is a wasteful number, since it uses less digits than its factorization.

4433883344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The square root of 4433883344 is about 66587.4113027380. The cubic root of 4433883344 is about 1642.8380543257.

The spelling of 4433883344 in words is "four billion, four hundred thirty-three million, eight hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 73 88 121 137 146 176 229 242 274 292 458 484 548 584 803 916 968 1096 1168 1507 1606 1832 1936 2192 2519 3014 3212 3664 5038 6028 6424 8833 10001 10076 12056 12848 16577 16717 17666 20002 20152 24112 27709 31373 33154 33434 35332 40004 40304 55418 62746 66308 66868 70664 80008 110011 110836 125492 132616 133736 141328 160016 183887 220022 221672 250984 265232 267472 345103 367774 440044 443344 501968 690206 735548 880088 1210121 1380412 1471096 1760176 2022757 2290229 2420242 2760824 2942192 3796133 4045514 4580458 4840484 5521648 7592266 8091028 9160916 9680968 15184532 16182056 18321832 19361936 25192519 30369064 32364112 36643664 50385038 60738128 100770076 201540152 277117709 403080304 554235418 1108470836 2216941672 4433883344