The number 49800
49800 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 83. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 49800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49800 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 49800 itself that is 106440, so 49800 is abundant (106440 is more than 49800). Euler's totient φ(49800) = 13120 numbers up to 49800 share no factor with it.
- 4
The digits of 49800 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49800 = 2^{3} \times 3 \times 5^{2} \times 83 \]49800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 13120 |
| Square | 2480040000 |
| Cube | 123505992000000 |
| Square root | 223.159136 (= 10√498) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.98 × |
49800 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred |
| Binary (base 2) | 1100001010001000 |
| Octal (base 8) | 141210 |
| Hexadecimal (base 16) | C288 |
| Base 3 | 2112022110 |
| As time | 49800 seconds = 13 h 50 min 0 s |
Is 49800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49800 ÷ 2 = 24900) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49800 ÷ 3 = 16600) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49800 ÷ 4 = 12450) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49800 ÷ 5 = 9960) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49800 ÷ 6 = 8300) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (49800 ÷ 8 = 6225) | 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 (49800 ÷ 10 = 4980) | 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 | Yes (49800 ÷ 12 = 4150) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49800 a prime number?
No. 49800 = × 3 × × 83, so it is divisible by 2.
What are the factors of 49800?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 83, 100, 120, 150, 166, 200, 249, 300, 332, 415, 498, 600, 664, 830, 996, 1245, 1660, 1992, 2075, 2490, 3320, 4150, 4980, 6225, 8300, 9960, 12450, 16600, 24900, 49800.
What is 49800 in binary?
1100001010001000 (hexadecimal C288, octal 141210).
What is the square root of 49800?
About 223.1591, exactly 10√498.
Is 49800 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49800?
It is a composite number with 48 divisors.