Search a number
-
+
4084743744 = 263226632
BaseRepresentation
bin1111001101111000…
…0011111001000000
3101112200011111000100
43303132003321000
531331143244434
61513154122400
7203136514614
oct36336037100
911480144010
104084743744
111806805484
1295bb80400
13501353043
142aa6d3344
1518d914699
hexf3783e40

4084743744 has 63 divisors (see below), whose sum is σ = 11712578683. Its totient is φ = 1361069952.

The previous prime is 4084743739. The next prime is 4084743769. The reversal of 4084743744 is 4473474804.

The square root of 4084743744 is 63912.

It is a perfect power (a square), and thus also a powerful number.

4084743744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4084743744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1532557 + ... + 1535219.

Almost surely, 24084743744 is an apocalyptic number.

4084743744 is the 63912-nd square number.

It is an amenable number.

4084743744 is an abundant number, since it is smaller than the sum of its proper divisors (7627834939).

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

4084743744 is an frugal number, since it uses more digits than its factorization.

4084743744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The cubic root of 4084743744 is about 1598.5329970167.

The spelling of 4084743744 in words is "four billion, eighty-four million, seven hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2663 5326 7989 10652 15978 21304 23967 31956 42608 47934 63912 85216 95868 127824 170432 191736 255648 383472 511296 766944 1533888 7091569 14183138 21274707 28366276 42549414 56732552 63824121 85098828 113465104 127648242 170197656 226930208 255296484 340395312 453860416 510592968 680790624 1021185936 1361581248 2042371872 4084743744