Search a number
-
+
4424446680 = 2335376831459
BaseRepresentation
bin1000001111011011…
…11011001011011000
3102102100101011211120
410013231323023120
533030124243210
62011011125240
7214433114313
oct40755731330
912370334746
104424446680
111970537305
12a358a3820
135568423b4
142dd87d97a
151ad667270
hex107b7b2d8

4424446680 has 128 divisors (see below), whose sum is σ = 13661395200. Its totient is φ = 1145498112.

The previous prime is 4424446669. The next prime is 4424446699. The reversal of 4424446680 is 866444244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3031791 + ... + 3033249.

It is an arithmetic number, because the mean of its divisors is an integer number (106729650).

Almost surely, 24424446680 is an apocalyptic number.

4424446680 is a gapful number since it is divisible by the number (40) 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 4424446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830697600).

4424446680 is an abundant number, since it is smaller than the sum of its proper divisors (9236948520).

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

4424446680 is a wasteful number, since it uses less digits than its factorization.

4424446680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The square root of 4424446680 is about 66516.5143404253. The cubic root of 4424446680 is about 1641.6717387162.

The spelling of 4424446680 in words is "four billion, four hundred twenty-four million, four hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 683 740 888 1110 1366 1459 1480 2049 2220 2732 2918 3415 4098 4377 4440 5464 5836 6830 7295 8196 8754 10245 11672 13660 14590 16392 17508 20490 21885 25271 27320 29180 35016 40980 43770 50542 53983 58360 75813 81960 87540 101084 107966 126355 151626 161949 175080 202168 215932 252710 269915 303252 323898 379065 431864 505420 539830 606504 647796 758130 809745 996497 1010840 1079660 1295592 1516260 1619490 1992994 2159320 2989491 3032520 3238980 3985988 4982485 5978982 6477960 7971976 9964970 11957964 14947455 19929940 23915928 29894910 36870389 39859880 59789820 73740778 110611167 119579640 147481556 184351945 221222334 294963112 368703890 442444668 553055835 737407780 884889336 1106111670 1474815560 2212223340 4424446680