The number 48924
48924 is a composite number with 30 divisors. Its prime factorisation is × × 151. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 151, 162, 302 … 48924.
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How to work it out
- 1
What is special about 48924: a Harshad number: divisible by its digit sum 27.
- 2
48924 is composite. Its prime factorisation is
- 3
The divisors add up to 128744; without 48924 itself that is 79820, so 48924 is abundant (79820 is more than 48924). Euler's totient φ(48924) = 16200 numbers up to 48924 share no factor with it.
- 4
The digits of 48924 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48924 = 2^{2} \times 3^{4} \times 151 \]48924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 128744 |
| Euler totient φ(n) | 16200 |
| Square | 2393557776 |
| Cube | 117102420633024 |
| Square root | 221.187703 (= 18√151) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8924 × |
48924 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and twenty-four |
| Binary (base 2) | 1011111100011100 |
| Octal (base 8) | 137434 |
| Hexadecimal (base 16) | BF1C |
| Base 3 | 2111010000 |
| As time | 48924 seconds = 13 h 35 min 24 s |
Is 48924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48924 ÷ 2 = 24462) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48924 ÷ 3 = 16308) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48924 ÷ 4 = 12231) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48924 ÷ 6 = 8154) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48924 ÷ 9 = 5436) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48924 ÷ 12 = 4077) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48924 a prime number?
No. 48924 = × × 151, so it is divisible by 2.
What are the factors of 48924?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 151, 162, 302, 324, 453, 604, 906, 1359, 1812, 2718, 4077, 5436, 8154, 12231, 16308, 24462, 48924.
What is 48924 in binary?
1011111100011100 (hexadecimal BF1C, octal 137434).
What is the square root of 48924?
About 221.1877, exactly 18√151.
Is 48924 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48924?
48924 is a Harshad number: divisible by its digit sum 27.