| Base | Representation |
|---|---|
| bin | 1111010000100100000… |
| … | …00000000000000000000 |
| 3 | 1212010021112100221200002 |
| 4 | 13220102000000000000 |
| 5 | 32042220212000000 |
| 6 | 1040504331215132 |
| 7 | 52610226320102 |
| oct | 7502200000000 |
| 9 | 1763245327602 |
| 10 | 524288000000 |
| 11 | 1923929a9376 |
| 12 | 8573aba74a8 |
| 13 | 3a595002bcb |
| 14 | 1b538bcb572 |
| 15 | d9880628d5 |
| hex | 7a12000000 |
524288000000 has 182 divisors, whose sum is σ = 1310703203253. Its totient is φ = 209715200000.
The previous prime is 524287999987. The next prime is 524288000003. The reversal of 524288000000 is 882425.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 4 ways, for example, as 89405784064 + 434882215936 = 299008^2 + 659456^2 .
It is an ABA number since it can be written as A⋅BA, here for A=5, B=160.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (524288000003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 104857599998 + ... + 104857600002.
Almost surely, 2524288000000 is an apocalyptic number.
524288000000 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 524288000000
524288000000 is an abundant number, since it is smaller than the sum of its proper divisors (786415203253).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
524288000000 is an frugal number, since it uses more digits than its factorization.
524288000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 29.
524288000000 divided by its product of nonzero digits (5120) gives a 5-th power (102400000 = 405).
Adding to 524288000000 its reverse (882425), we get a palindrome (524288882425).
The spelling of 524288000000 in words is "five hundred twenty-four billion, two hundred eighty-eight million", and thus it is an aban number.
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