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4894335648 = 253241940559
BaseRepresentation
bin1001000111011100…
…11010001010100000
3110122002120000022200
410203232122022200
540010422220043
62125354333200
7232200111066
oct44356321240
913562500280
104894335648
1120917a78a4
12b4712a200
135cccb3ac7
14346038036
151d9a337d3
hex123b9a2a0

4894335648 has 72 divisors (see below), whose sum is σ = 13951828800. Its totient is φ = 1627511424.

The previous prime is 4894335631. The next prime is 4894335653. The reversal of 4894335648 is 8465334984.

4894335648 is a `hidden beast` number, since 48 + 9 + 4 + 33 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4894335594 and 4894335603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100393 + ... + 140951.

It is an arithmetic number, because the mean of its divisors is an integer number (193775400).

Almost surely, 24894335648 is an apocalyptic number.

4894335648 is a gapful number since it is divisible by the number (48) 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 4894335648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975914400).

4894335648 is an abundant number, since it is smaller than the sum of its proper divisors (9057493152).

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

4894335648 is a wasteful number, since it uses less digits than its factorization.

4894335648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40994 (or 40983 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 4894335648 is about 69959.5286433521. The cubic root of 4894335648 is about 1697.8445170554.

The spelling of 4894335648 in words is "four billion, eight hundred ninety-four million, three hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 419 838 1257 1676 2514 3352 3771 5028 6704 7542 10056 13408 15084 20112 30168 40224 40559 60336 81118 120672 121677 162236 243354 324472 365031 486708 648944 730062 973416 1297888 1460124 1946832 2920248 3893664 5840496 11680992 16994221 33988442 50982663 67976884 101965326 135953768 152947989 203930652 271907536 305895978 407861304 543815072 611791956 815722608 1223583912 1631445216 2447167824 4894335648