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4486306960 = 245294344971
BaseRepresentation
bin1000010110110011…
…11001110010010000
3102120122210000012001
410023121321302100
533141443310320
62021101043344
7216113660062
oct41331716220
912518700161
104486306960
1119a2448903
12a52556554
135665c1005
14307b83732
151b3cd620a
hex10b679c90

4486306960 has 80 divisors (see below), whose sum is σ = 11041525440. Its totient is φ = 1692311040.

The previous prime is 4486306921. The next prime is 4486306963. The reversal of 4486306960 is 696036844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4486306960.

It is not an unprimeable number, because it can be changed into a prime (4486306963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77275 + ... + 122245.

It is an arithmetic number, because the mean of its divisors is an integer number (138019068).

Almost surely, 24486306960 is an apocalyptic number.

4486306960 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 4486306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520762720).

4486306960 is an abundant number, since it is smaller than the sum of its proper divisors (6555218480).

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

4486306960 is a wasteful number, since it uses less digits than its factorization.

4486306960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45056 (or 45050 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 4486306960 is about 66979.8996714686. The cubic root of 4486306960 is about 1649.2873518725.

The spelling of 4486306960 in words is "four billion, four hundred eighty-six million, three hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 2320 2494 3440 4988 6235 9976 12470 19952 24940 44971 49880 89942 99760 179884 224855 359768 449710 719536 899420 1304159 1798840 1933753 2608318 3597680 3867506 5216636 6520795 7735012 9668765 10433272 13041590 15470024 19337530 20866544 26083180 30940048 38675060 52166360 56078837 77350120 104332720 112157674 154700240 224315348 280394185 448630696 560788370 897261392 1121576740 2243153480 4486306960