The number 48920
48920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1223. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1223, 2446, 4892, 6115, 9784, 12230, 24460, 48920.
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How to work it out
- 1
48920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48920 is composite. Its prime factorisation is
- 3
The divisors add up to 110160; without 48920 itself that is 61240, so 48920 is abundant (61240 is more than 48920). Euler's totient φ(48920) = 19552 numbers up to 48920 share no factor with it.
- 4
The digits of 48920 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48920 = 2^{3} \times 5 \times 1223 \]48920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110160 |
| Euler totient φ(n) | 19552 |
| Square | 2393166400 |
| Cube | 117073700288000 |
| Square root | 221.178661 (= 2√12230) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.892 × |
48920 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and twenty |
| Binary (base 2) | 1011111100011000 |
| Octal (base 8) | 137430 |
| Hexadecimal (base 16) | BF18 |
| Base 3 | 2111002212 |
| As time | 48920 seconds = 13 h 35 min 20 s |
Is 48920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48920 ÷ 2 = 24460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48920 ÷ 4 = 12230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48920 ÷ 5 = 9784) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (48920 ÷ 8 = 6115) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48920 ÷ 10 = 4892) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48920 a prime number?
No. 48920 = × 5 × 1223, so it is divisible by 2.
What are the factors of 48920?
1, 2, 4, 5, 8, 10, 20, 40, 1223, 2446, 4892, 6115, 9784, 12230, 24460, 48920.
What is 48920 in binary?
1011111100011000 (hexadecimal BF18, octal 137430).
What is the square root of 48920?
About 221.1787, exactly 2√12230.
Is 48920 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48920?
It is a composite number with 16 divisors.