The number 48450
48450 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 17 × 19. Divisors (48): 1, 2, 3, 5, 6, 10, 15, 17, 19, 25, 30, 34, 38, 50, 51, 57 … 48450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48450 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48450 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 48450 itself that is 85470, so 48450 is abundant (85470 is more than 48450). Euler's totient φ(48450) = 11520 numbers up to 48450 share no factor with it.
- 4
The digits of 48450 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48450 = 2 \times 3 \times 5^{2} \times 17 \times 19 \]48450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 11520 |
| Square | 2347402500 |
| Cube | 113731651125000 |
| Square root | 220.113607 (= 5√1938) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.845 × |
48450 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and fifty |
| Binary (base 2) | 1011110101000010 |
| Octal (base 8) | 136502 |
| Hexadecimal (base 16) | BD42 |
| Base 3 | 2110110110 |
| As time | 48450 seconds = 13 h 27 min 30 s |
Is 48450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48450 ÷ 2 = 24225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48450 ÷ 3 = 16150) | 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 (48450 ÷ 5 = 9690) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48450 ÷ 6 = 8075) | 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 | No (remainder 2) | 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 (48450 ÷ 10 = 4845) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 48450 a prime number?
No. 48450 = 2 × 3 × × 17 × 19, so it is divisible by 2.
What are the factors of 48450?
1, 2, 3, 5, 6, 10, 15, 17, 19, 25, 30, 34, 38, 50, 51, 57, 75, 85, 95, 102, 114, 150, 170, 190, 255, 285, 323, 425, 475, 510, 570, 646, 850, 950, 969, 1275, 1425, 1615, 1938, 2550, 2850, 3230, 4845, 8075, 9690, 16150, 24225, 48450.
What is 48450 in binary?
1011110101000010 (hexadecimal BD42, octal 136502).
What is the square root of 48450?
About 220.1136, exactly 5√1938.
Is 48450 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48450?
It is a composite number with 48 divisors.