The number 48928
48928 is a composite number with 24 divisors. Its prime factorisation is × 11 × 139. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 139, 176, 278, 352, 556, 1112 … 48928.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48928 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48928 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 48928 itself that is 56912, so 48928 is abundant (56912 is more than 48928). Euler's totient φ(48928) = 22080 numbers up to 48928 share no factor with it.
- 4
The digits of 48928 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48928 = 2^{5} \times 11 \times 139 \]48928 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 22080 |
| Square | 2393949184 |
| Cube | 117131145674752 |
| Square root | 221.196745 (= 4√3058) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8928 × |
48928 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and twenty-eight |
| Binary (base 2) | 1011111100100000 |
| Octal (base 8) | 137440 |
| Hexadecimal (base 16) | BF20 |
| Base 3 | 2111010011 |
| As time | 48928 seconds = 13 h 35 min 28 s |
Is 48928 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48928 ÷ 2 = 24464) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48928 ÷ 4 = 12232) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (48928 ÷ 8 = 6116) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48928 ÷ 11 = 4448) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48928 a prime number?
No. 48928 = × 11 × 139, so it is divisible by 2.
What are the factors of 48928?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 139, 176, 278, 352, 556, 1112, 1529, 2224, 3058, 4448, 6116, 12232, 24464, 48928.
What is 48928 in binary?
1011111100100000 (hexadecimal BF20, octal 137440).
What is the square root of 48928?
About 221.1967, exactly 4√3058.
Is 48928 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48928?
It is a composite number with 24 divisors.