| Base | Representation |
|---|---|
| bin | 1001010110010… |
| … | …00001000000000 |
| 3 | 12110112212020200 |
| 4 | 10223020020000 |
| 5 | 130033224321 |
| 6 | 11440405200 |
| 7 | 1641340140 |
| oct | 453101000 |
| 9 | 173485220 |
| 10 | 78414336 |
| 11 | 40298940 |
| 12 | 22316800 |
| 13 | 13326720 |
| 14 | a5b2920 |
| 15 | 6d3dd26 |
| hex | 4ac8200 |
78414336 has 480 divisors, whose sum is σ = 321729408. Its totient is φ = 17694720.
The previous prime is 78414331. The next prime is 78414397. The reversal of 78414336 is 63341487.
It is a super-2 number, since 2×784143362 = 12297616180641792, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (48384) is a multiple of the sum of its prime factors (72).
It is a self number, because there is not a number n which added to its sum of digits gives 78414336.
It is not an unprimeable number, because it can be changed into a prime (78414331) 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 47 ways as a sum of consecutive naturals, for example, 4612600 + ... + 4612616.
Almost surely, 278414336 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 78414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).
78414336 is an abundant number, since it is smaller than the sum of its proper divisors (243315072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78414336 is a wasteful number, since it uses less digits than its factorization.
78414336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72 (or 53 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 78414336 is about 8855.1869545482. The cubic root of 78414336 is about 428.0210779499.
It can be divided in two parts, 784 and 14336, that multiplied together give a cube (11239424 = 2243).
The spelling of 78414336 in words is "seventy-eight million, four hundred fourteen thousand, three hundred thirty-six".
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