| Base | Representation |
|---|---|
| bin | 10010001100010001010000 |
| 3 | 22222021122000 |
| 4 | 102030101100 |
| 5 | 2210100343 |
| 6 | 250114000 |
| 7 | 55351230 |
| oct | 22142120 |
| 9 | 8867560 |
| 10 | 4768848 |
| 11 | 27679a7 |
| 12 | 171b900 |
| 13 | cac806 |
| 14 | 8c1cc0 |
| 15 | 642ed3 |
| hex | 48c450 |
4768848 has 160 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 1275264.
The previous prime is 4768831. The next prime is 4768849. The reversal of 4768848 is 8488674.
It is a super-5 number, since 5×47688485 (a number of 35 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (4768849) 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 31 ways as a sum of consecutive naturals, for example, 57415 + ... + 57497.
It is an arithmetic number, because the mean of its divisors is an integer number (104160).
Almost surely, 24768848 is an apocalyptic number.
4768848 is a gapful number since it is divisible by the number (48) 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 4768848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).
4768848 is an abundant number, since it is smaller than the sum of its proper divisors (11896752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4768848 is a wasteful number, since it uses less digits than its factorization.
4768848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 114 counting only the distinct ones).
The product of its digits is 344064, while the sum is 45.
The square root of 4768848 is about 2183.7692185760. The cubic root of 4768848 is about 168.3208155468.
The spelling of 4768848 in words is "four million, seven hundred sixty-eight thousand, eight hundred forty-eight".
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