Base | Representation |
---|---|
bin | 101101100100000… |
… | …0000000000000000 |
3 | 10221112202022000000 |
4 | 1123020000000000 |
5 | 11112334330213 |
6 | 411412000000 |
7 | 52612534161 |
oct | 13310000000 |
9 | 3845668000 |
10 | 1528823808 |
11 | 714a87a56 |
12 | 368000000 |
13 | 1b4974a95 |
14 | 107087768 |
15 | 8e33ec73 |
hex | 5b200000 |
1528823808 has 154 divisors (see below), whose sum is σ = 4584373179. Its totient is φ = 509607936.
The previous prime is 1528823797. The next prime is 1528823833. The reversal of 1528823808 is 8083288251.
The cubic root of 1528823808 is 1152.
It is a perfect power (a cube), and thus also a powerful number.
It is a Jordan-Polya number, since it can be written as (4!)6 ⋅ (2!)3.
It can be written as a sum of positive squares in only one way, i.e., 764411904 + 764411904 = 27648^2 + 27648^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=27648.
It is an unprimeable number.
It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 509607935 + 509607936 + 509607937.
Almost surely, 21528823808 is an apocalyptic number.
1528823808 is a gapful number since it is divisible by the number (18) 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 1528823808
1528823808 is an abundant number, since it is smaller than the sum of its proper divisors (3055549371).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1528823808 is an frugal number, since it uses more digits than its factorization.
1528823808 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 60 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 245760, while the sum is 45.
The square root of 1528823808 is about 39100.1765724913.
The spelling of 1528823808 in words is "one billion, five hundred twenty-eight million, eight hundred twenty-three thousand, eight hundred eight".
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