The number 49400
49400 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 19. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 19, 20, 25, 26, 38, 40, 50, 52, 65 … 49400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49400 is composite. Its prime factorisation is
- 3
The divisors add up to 130200; without 49400 itself that is 80800, so 49400 is abundant (80800 is more than 49400). Euler's totient φ(49400) = 17280 numbers up to 49400 share no factor with it.
- 4
The digits of 49400 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49400 = 2^{3} \times 5^{2} \times 13 \times 19 \]49400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 130200 |
| Euler totient φ(n) | 17280 |
| Square | 2440360000 |
| Cube | 120553784000000 |
| Square root | 222.261108 (= 10√494) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.94 × |
49400 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred |
| Binary (base 2) | 1100000011111000 |
| Octal (base 8) | 140370 |
| Hexadecimal (base 16) | C0F8 |
| Base 3 | 2111202122 |
| As time | 49400 seconds = 13 h 43 min 20 s |
Is 49400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49400 ÷ 2 = 24700) | 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 (49400 ÷ 4 = 12350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49400 ÷ 5 = 9880) | 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 1) | 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 (49400 ÷ 8 = 6175) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49400 ÷ 10 = 4940) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 49400 a prime number?
No. 49400 = × × 13 × 19, so it is divisible by 2.
What are the factors of 49400?
1, 2, 4, 5, 8, 10, 13, 19, 20, 25, 26, 38, 40, 50, 52, 65, 76, 95, 100, 104, 130, 152, 190, 200, 247, 260, 325, 380, 475, 494, 520, 650, 760, 950, 988, 1235, 1300, 1900, 1976, 2470, 2600, 3800, 4940, 6175, 9880, 12350, 24700, 49400.
What is 49400 in binary?
1100000011111000 (hexadecimal C0F8, octal 140370).
What is the square root of 49400?
About 222.2611, exactly 10√494.
Is 49400 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 49400?
It is a composite number with 48 divisors.