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2838071824 = 247314119937
BaseRepresentation
bin1010100100101001…
…1000101000010000
321022210022222122021
42221022120220100
521303021244244
61145341421224
7130221132610
oct25112305020
97283288567
102838071824
111227021405
1267256a814
13362c9a253
141cccd4a40
1511925a284
hexa9298a10

2838071824 has 80 divisors (see below), whose sum is σ = 6645574656. Its totient is φ = 1148313600.

The previous prime is 2838071771. The next prime is 2838071833. The reversal of 2838071824 is 4281708382.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132384 + ... + 152320.

Almost surely, 22838071824 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 2838071824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322787328).

2838071824 is an abundant number, since it is smaller than the sum of its proper divisors (3807502832).

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

2838071824 is a wasteful number, since it uses less digits than its factorization.

2838071824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20024 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 2838071824 is about 53273.5565172816. The cubic root of 2838071824 is about 1415.8191886124.

The spelling of 2838071824 in words is "two billion, eight hundred thirty-eight million, seventy-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1148 1271 1736 2296 2542 3472 4592 5084 8897 10168 17794 19937 20336 35588 39874 71176 79748 139559 142352 159496 279118 318992 558236 618047 817417 1116472 1236094 1634834 2232944 2472188 3269668 4326329 4944376 5721919 6539336 8652658 9888752 11443838 13078672 17305316 22887676 25339927 34610632 45775352 50679854 69221264 91550704 101359708 177379489 202719416 354758978 405438832 709517956 1419035912 2838071824