Search a number
-
+
4884816468 = 2237224134471
BaseRepresentation
bin1001000110010100…
…00110001001010100
3110121102122101110110
410203022012021110
540001003111333
62124414323020
7232023153300
oct44312061124
913542571413
104884816468
112087395a04
12b43ab9470
135cb03005c
14344a7ad00
151d8ca3063
hex123286254

4884816468 has 72 divisors (see below), whose sum is σ = 13314189504. Its totient is φ = 1389830400.

The previous prime is 4884816451. The next prime is 4884816473. The reversal of 4884816468 is 8646184884.

It is a super-2 number, since 2×48848164682 = 47722863852087990048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124473 + ... + 158943.

Almost surely, 24884816468 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 4884816468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657094752).

4884816468 is an abundant number, since it is smaller than the sum of its proper divisors (8429373036).

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

4884816468 is a wasteful number, since it uses less digits than its factorization.

4884816468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34733 (or 34724 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 57.

The square root of 4884816468 is about 69891.4620536729. The cubic root of 4884816468 is about 1696.7430684860.

The spelling of 4884816468 in words is "four billion, eight hundred eighty-four million, eight hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 241 294 482 588 723 964 1446 1687 2892 3374 5061 6748 10122 11809 20244 23618 34471 35427 47236 68942 70854 103413 137884 141708 206826 241297 413652 482594 723891 965188 1447782 1689079 2895564 3378158 5067237 6756316 8307511 10134474 16615022 20268948 24922533 33230044 49845066 58152577 99690132 116305154 174457731 232610308 348915462 407068039 697830924 814136078 1221204117 1628272156 2442408234 4884816468