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4848456704 = 21072137433
BaseRepresentation
bin1001000001111110…
…11001010000000000
3110111220020010020112
410200333121100000
534412201103304
62121035130452
7231102126200
oct44077312000
913456203215
104848456704
112068911313
12b338a3a28
135c363c3c0
1433dcd4400
151d59beb6e
hex120fd9400

4848456704 has 132 divisors (see below), whose sum is σ = 12143483604. Its totient is φ = 1917812736.

The previous prime is 4848456677. The next prime is 4848456709. The reversal of 4848456704 is 4076548484.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 481890304 + 4366566400 = 21952^2 + 66080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848456709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648572 + ... + 656004.

Almost surely, 24848456704 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 4848456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071741802).

4848456704 is an abundant number, since it is smaller than the sum of its proper divisors (7295026900).

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

4848456704 is a wasteful number, since it uses less digits than its factorization.

4848456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 50.

The square root of 4848456704 is about 69630.8602847904. The cubic root of 4848456704 is about 1692.5227200116.

The spelling of 4848456704 in words is "four billion, eight hundred forty-eight million, four hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 7168 7433 10192 11648 12544 13312 14866 20384 23296 25088 29732 40768 46592 50176 52031 59464 81536 93184 96629 104062 118928 163072 193258 208124 237856 326144 364217 386516 416248 475712 652288 676403 728434 773032 832496 951424 1352806 1456868 1546064 1664992 1902848 2705612 2913736 3092128 3329984 3805696 4734821 5411224 5827472 6184256 6659968 7611392 9469642 10822448 11654944 12368512 13319936 18939284 21644896 23309888 24737024 26639872 37878568 43289792 46619776 49474048 53279744 75757136 86579584 93239552 98948096 151514272 173159168 186479104 303028544 346318336 372958208 606057088 692636672 1212114176 2424228352 4848456704