| Base | Representation |
|---|---|
| bin | 110000010000011… |
| … | …111011100000000 |
| 3 | 2002102110102210120 |
| 4 | 300100133130000 |
| 5 | 3124231120230 |
| 6 | 212201100240 |
| 7 | 26030510454 |
| oct | 6020373400 |
| 9 | 2072412716 |
| 10 | 809629440 |
| 11 | 386018644 |
| 12 | 1a7187680 |
| 13 | cb974b99 |
| 14 | 79754664 |
| 15 | 4b12a310 |
| hex | 3041f700 |
809629440 has 288 divisors, whose sum is σ = 2754984960. Its totient is φ = 202211328.
The previous prime is 809629439. The next prime is 809629441. The reversal of 809629440 is 44926908.
It is an interprime number because it is at equal distance from previous prime (809629439) and next prime (809629441).
It is a super-2 number, since 2×8096294402 = 1310999660229427200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 809629392 and 809629401.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (809629441) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 7860429 + ... + 7860531.
It is an arithmetic number, because the mean of its divisors is an integer number (9565920).
Almost surely, 2809629440 is an apocalyptic number.
809629440 is a gapful number since it is divisible by the number (80) 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 809629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).
809629440 is an abundant number, since it is smaller than the sum of its proper divisors (1945355520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
809629440 is a wasteful number, since it uses less digits than its factorization.
809629440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239 (or 225 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 42.
The square root of 809629440 is about 28453.9881211756. The cubic root of 809629440 is about 932.0275799706.
The spelling of 809629440 in words is "eight hundred nine million, six hundred twenty-nine thousand, four hundred forty".
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