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4443432444 = 2233115370571
BaseRepresentation
bin1000010001101100…
…10110010111111100
3102110200002202102000
410020312112113330
533100004314234
62012530102300
7215053360353
oct41066262774
912420082360
104443432444
111980224620
12a4011a990
1355a75bc89
143021c299a
151b0167899
hex108d965fc

4443432444 has 96 divisors (see below), whose sum is σ = 12804583680. Its totient is φ = 1321070400.

The previous prime is 4443432421. The next prime is 4443432457. The reversal of 4443432444 is 4442343444.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4443432399 and 4443432408.

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 31 ways as a sum of consecutive naturals, for example, 27679 + ... + 98249.

It is an arithmetic number, because the mean of its divisors is an integer number (133381080).

Almost surely, 24443432444 is an apocalyptic number.

4443432444 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 4443432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402291840).

4443432444 is an abundant number, since it is smaller than the sum of its proper divisors (8361151236).

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

4443432444 is a wasteful number, since it uses less digits than its factorization.

4443432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70648 (or 70640 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The square root of 4443432444 is about 66659.0762312230. The cubic root of 4443432444 is about 1644.0165830284.

Adding to 4443432444 its reverse (4442343444), we get a palindrome (8885775888).

The spelling of 4443432444 in words is "four billion, four hundred forty-three million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 198 212 297 318 396 477 583 594 636 954 1166 1188 1431 1749 1908 2332 2862 3498 5247 5724 6996 10494 15741 20988 31482 62964 70571 141142 211713 282284 423426 635139 776281 846852 1270278 1552562 1905417 2328843 2540556 3105124 3740263 3810834 4657686 6986529 7480526 7621668 9315372 11220789 13973058 14961052 20959587 22441578 27946116 33662367 41142893 41919174 44883156 67324734 82285786 83838348 100987101 123428679 134649468 164571572 201974202 246857358 370286037 403948404 493714716 740572074 1110858111 1481144148 2221716222 4443432444