The number 49500
49500 is a composite number with 72 divisors. Its prime factorisation is × × × 11. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30 … 49500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49500: a Harshad number: divisible by its digit sum 18.
- 2
49500 is composite. Its prime factorisation is
- 3
The divisors add up to 170352; without 49500 itself that is 120852, so 49500 is abundant (120852 is more than 49500). Euler's totient φ(49500) = 12000 numbers up to 49500 share no factor with it.
- 4
The digits of 49500 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49500 = 2^{2} \times 3^{2} \times 5^{3} \times 11 \]49500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 170352 |
| Euler totient φ(n) | 12000 |
| Square | 2450250000 |
| Cube | 121287375000000 |
| Square root | 222.485955 (= 30√55) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.95 × |
49500 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred |
| Binary (base 2) | 1100000101011100 |
| Octal (base 8) | 140534 |
| Hexadecimal (base 16) | C15C |
| Base 3 | 2111220100 |
| As time | 49500 seconds = 13 h 45 min 0 s |
Is 49500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49500 ÷ 2 = 24750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49500 ÷ 3 = 16500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49500 ÷ 4 = 12375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49500 ÷ 5 = 9900) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49500 ÷ 6 = 8250) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49500 ÷ 9 = 5500) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49500 ÷ 10 = 4950) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49500 ÷ 11 = 4500) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49500 ÷ 12 = 4125) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49500 a prime number?
No. 49500 = × × × 11, so it is divisible by 2.
What are the factors of 49500?
1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 125, 132, 150, 165, 180, 198, 220, 225, 250, 275, 300, 330, 375, 396, 450, 495, 500, 550, 660, 750, 825, 900, 990, 1100, 1125, 1375, 1500, 1650, 1980, 2250, 2475, 2750, 3300, 4125, 4500, 4950, 5500, 8250, 9900, 12375, 16500, 24750, 49500.
What is 49500 in binary?
1100000101011100 (hexadecimal C15C, octal 140534).
What is the square root of 49500?
About 222.4860, exactly 30√55.
Is 49500 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49500?
49500 is a Harshad number: divisible by its digit sum 18.