The number 48990
48990 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 23 × 71. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 71, 115, 138, 142, 213 … 48990.
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How to work it out
- 1
What is special about 48990: a Harshad number: divisible by its digit sum 30.
- 2
48990 is composite. Its prime factorisation is
- 3
The divisors add up to 124416; without 48990 itself that is 75426, so 48990 is abundant (75426 is more than 48990). Euler's totient φ(48990) = 12320 numbers up to 48990 share no factor with it.
- 4
The digits of 48990 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48990 = 2 \times 3 \times 5 \times 23 \times 71 \]
48990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 124416 |
| Euler totient φ(n) | 12320 |
| Square | 2400020100 |
| Cube | 117576984699000 |
| Square root | 221.336847 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.899 × |
48990 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and ninety |
| Binary (base 2) | 1011111101011110 |
| Octal (base 8) | 137536 |
| Hexadecimal (base 16) | BF5E |
| Base 3 | 2111012110 |
| As time | 48990 seconds = 13 h 36 min 30 s |
Is 48990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48990 ÷ 2 = 24495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48990 ÷ 3 = 16330) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48990 ÷ 5 = 9798) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48990 ÷ 6 = 8165) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48990 ÷ 10 = 4899) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48990 a prime number?
No. 48990 = 2 × 3 × 5 × 23 × 71, so it is divisible by 2.
What are the factors of 48990?
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 71, 115, 138, 142, 213, 230, 345, 355, 426, 690, 710, 1065, 1633, 2130, 3266, 4899, 8165, 9798, 16330, 24495, 48990.
What is 48990 in binary?
1011111101011110 (hexadecimal BF5E, octal 137536).
What is the square root of 48990?
About 221.3368.
Is 48990 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48990?
48990 is a Harshad number: divisible by its digit sum 30.