| Base | Representation |
|---|---|
| bin | 1001010100001… |
| … | …11100001101000 |
| 3 | 12110001102021200 |
| 4 | 10222013201220 |
| 5 | 130001242421 |
| 6 | 11431004200 |
| 7 | 1636155540 |
| oct | 452074150 |
| 9 | 173042250 |
| 10 | 78149736 |
| 11 | 40128065 |
| 12 | 22209660 |
| 13 | 13263162 |
| 14 | a544320 |
| 15 | 6cda726 |
| hex | 4a87868 |
78149736 has 96 divisors (see below), whose sum is σ = 254654400. Its totient is φ = 21150720.
The previous prime is 78149713. The next prime is 78149741. The reversal of 78149736 is 63794187.
It is a super-2 number, since 2×781497362 = 12214762473739392, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 78149691 and 78149700.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 5496 + ... + 13656.
It is an arithmetic number, because the mean of its divisors is an integer number (2652650).
Almost surely, 278149736 is an apocalyptic number.
78149736 is a gapful number since it is divisible by the number (76) 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 78149736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127327200).
78149736 is an abundant number, since it is smaller than the sum of its proper divisors (176504664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78149736 is a wasteful number, since it uses less digits than its factorization.
78149736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8199 (or 8192 counting only the distinct ones).
The product of its digits is 254016, while the sum is 45.
The square root of 78149736 is about 8840.2339335563. The cubic root of 78149736 is about 427.5390997376.
The spelling of 78149736 in words is "seventy-eight million, one hundred forty-nine thousand, seven hundred thirty-six".
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