Base | Representation |
---|---|
bin | 1001111011001001… |
… | …01101010000000000 |
3 | 111202022120102222100 |
4 | 10331210231100000 |
5 | 41402432000000 |
6 | 2240405310400 |
7 | 246014152461 |
oct | 47544552000 |
9 | 14668512870 |
10 | 5328000000 |
11 | 2294576294 |
12 | 1048405400 |
13 | 66bab122b |
14 | 387882d68 |
15 | 212b46a00 |
hex | 13d92d400 |
5328000000 has 462 divisors, whose sum is σ = 19750098758. Its totient is φ = 1382400000.
The previous prime is 5327999987. The next prime is 5328000001. The reversal of 5328000000 is 8235.
It can be written as a sum of positive squares in 7 ways, for example, as 5128851456 + 199148544 = 71616^2 + 14112^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5328000001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 143999982 + ... + 144000018.
Almost surely, 25328000000 is an apocalyptic number.
5328000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5328000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875049379).
5328000000 is an abundant number, since it is smaller than the sum of its proper divisors (14422098758).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5328000000 is an frugal number, since it uses more digits than its factorization.
5328000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 5328000000 is about 72993.1503635786. The cubic root of 5328000000 is about 1746.5783482592.
Adding to 5328000000 its reverse (8235), we get a palindrome (5328008235).
The spelling of 5328000000 in words is "five billion, three hundred twenty-eight million", and thus it is an aban number.
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