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3840518864 = 24731353831
BaseRepresentation
bin1110010011101001…
…1010101011010000
3100220122121120110102
43210322122223100
530331133100424
61433031351532
7164112605000
oct34472325320
910818546412
103840518864
1116a0966736
128b22225a8
13492883190
142860bc000
151772717ae
hexe4e9aad0

3840518864 has 80 divisors (see below), whose sum is σ = 9345235200. Its totient is φ = 1519297920.

The previous prime is 3840518819. The next prime is 3840518867. The reversal of 3840518864 is 4688150483.

3840518864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840518867) 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, 44429 + ... + 98259.

It is an arithmetic number, because the mean of its divisors is an integer number (116815440).

Almost surely, 23840518864 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 3840518864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672617600).

3840518864 is an abundant number, since it is smaller than the sum of its proper divisors (5504716336).

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

3840518864 is a wasteful number, since it uses less digits than its factorization.

3840518864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53873 (or 53853 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The square root of 3840518864 is about 61971.9199638030. The cubic root of 3840518864 is about 1566.0175839815.

The spelling of 3840518864 in words is "three billion, eight hundred forty million, five hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 637 686 728 784 1274 1372 1456 2548 2744 4459 5096 5488 8918 10192 17836 35672 53831 71344 107662 215324 376817 430648 699803 753634 861296 1399606 1507268 2637719 2799212 3014536 4898621 5275438 5598424 6029072 9797242 10550876 11196848 18464033 19594484 21101752 34290347 36928066 39188968 42203504 68580694 73856132 78377936 137161388 147712264 240032429 274322776 295424528 480064858 548645552 960129716 1920259432 3840518864