The number 40848
40848 is a composite number with 40 divisors. Its prime factorisation is × 3 × 23 × 37. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 37, 46, 48, 69, 74, 92 … 40848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40848: a Harshad number: divisible by its digit sum 24.
- 2
40848 is composite. Its prime factorisation is
- 3
The divisors add up to 113088; without 40848 itself that is 72240, so 40848 is abundant (72240 is more than 40848). Euler's totient φ(40848) = 12672 numbers up to 40848 share no factor with it.
- 4
The digits of 40848 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40848 = 2^{4} \times 3 \times 23 \times 37 \]40848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 113088 |
| Euler totient φ(n) | 12672 |
| Square | 1668559104 |
| Cube | 68157302280192 |
| Square root | 202.108882 (= 4√2553) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0848 × |
40848 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and forty-eight |
| Binary (base 2) | 1001111110010000 |
| Octal (base 8) | 117620 |
| Hexadecimal (base 16) | 9F90 |
| Base 3 | 2002000220 |
| As time | 40848 seconds = 11 h 20 min 48 s |
Is 40848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40848 ÷ 2 = 20424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40848 ÷ 3 = 13616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40848 ÷ 4 = 10212) | 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 | Yes (40848 ÷ 6 = 6808) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (40848 ÷ 8 = 5106) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40848 ÷ 12 = 3404) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40848 a prime number?
No. 40848 = × 3 × 23 × 37, so it is divisible by 2.
What are the factors of 40848?
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 37, 46, 48, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 368, 444, 552, 592, 851, 888, 1104, 1702, 1776, 2553, 3404, 5106, 6808, 10212, 13616, 20424, 40848.
What is 40848 in binary?
1001111110010000 (hexadecimal 9F90, octal 117620).
What is the square root of 40848?
About 202.1089, exactly 4√2553.
Is 40848 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 40848?
40848 is a Harshad number: divisible by its digit sum 24.