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4424441232 = 243197366457
BaseRepresentation
bin1000001111011011…
…11001110110010000
3102102100100220100210
410013231321312100
533030124104412
62011011044120
7214433062401
oct40755716620
912370326323
104424441232
111970533202
12a358a0640
1355683ca83
142dd87b9a8
151ad66583c
hex107b79d90

4424441232 has 80 divisors (see below), whose sum is σ = 12196372160. Its totient is φ = 1378031616.

The previous prime is 4424441221. The next prime is 4424441237. The reversal of 4424441232 is 2321444244.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4424441232.

It is not an unprimeable number, because it can be changed into a prime (4424441237) by changing a digit.

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, 33348 + ... + 99804.

It is an arithmetic number, because the mean of its divisors is an integer number (152454652).

Almost surely, 24424441232 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 4424441232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098186080).

4424441232 is an abundant number, since it is smaller than the sum of its proper divisors (7771930928).

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

4424441232 is a wasteful number, since it uses less digits than its factorization.

4424441232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66560 (or 66554 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 4424441232 is about 66516.4733881766. The cubic root of 4424441232 is about 1641.6710648970.

Adding to 4424441232 its reverse (2321444244), we get a palindrome (6745885476).

The spelling of 4424441232 in words is "four billion, four hundred twenty-four million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 438 456 584 876 912 1168 1387 1752 2774 3504 4161 5548 8322 11096 16644 22192 33288 66457 66576 132914 199371 265828 398742 531656 797484 1063312 1262683 1594968 2525366 3189936 3788049 4851361 5050732 7576098 9702722 10101464 14554083 15152196 19405444 20202928 29108166 30304392 38810888 58216332 60608784 77621776 92175859 116432664 184351718 232865328 276527577 368703436 553055154 737406872 1106110308 1474813744 2212220616 4424441232