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4839370640 = 245135387797
BaseRepresentation
bin1001000000111001…
…01110111110010000
3110111021010111111122
410200130232332100
534402334330030
62120112301412
7230631654206
oct44034567620
913437114448
104839370640
112063775875
12b30841868
135c17aa830
1433ca0b076
151d4cc78e5
hex12072ef90

4839370640 has 80 divisors (see below), whose sum is σ = 12345803568. Its totient is φ = 1753110528.

The previous prime is 4839370583. The next prime is 4839370649. The reversal of 4839370640 is 460739384.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32444416 + 4806926224 = 5696^2 + 69332^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4839370591 and 4839370600.

It is not an unprimeable number, because it can be changed into a prime (4839370649) 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, 11222 + ... + 99018.

Almost surely, 24839370640 is an apocalyptic number.

4839370640 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 4839370640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172901784).

4839370640 is an abundant number, since it is smaller than the sum of its proper divisors (7506432928).

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

4839370640 is a wasteful number, since it uses less digits than its factorization.

4839370640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87876 (or 87870 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 4839370640 is about 69565.5851696800. The cubic root of 4839370640 is about 1691.4647898204.

The spelling of 4839370640 in words is "four billion, eight hundred thirty-nine million, three hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 2120 2756 3445 4240 5512 6890 11024 13780 27560 55120 87797 175594 351188 438985 702376 877970 1141361 1404752 1755940 2282722 3511880 4565444 4653241 5706805 7023760 9130888 9306482 11413610 18261776 18612964 22827220 23266205 37225928 45654440 46532410 60492133 74451856 91308880 93064820 120984266 186129640 241968532 302460665 372259280 483937064 604921330 967874128 1209842660 2419685320 4839370640