The number 49350
49350 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 7 × 47. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 47, 50 … 49350.
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How to work it out
- 1
What is special about 49350: a Harshad number: divisible by its digit sum 21.
- 2
49350 is composite. Its prime factorisation is
- 3
The divisors add up to 142848; without 49350 itself that is 93498, so 49350 is abundant (93498 is more than 49350). Euler's totient φ(49350) = 11040 numbers up to 49350 share no factor with it.
- 4
The digits of 49350 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49350 = 2 \times 3 \times 5^{2} \times 7 \times 47 \]49350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 142848 |
| Euler totient φ(n) | 11040 |
| Square | 2435422500 |
| Cube | 120188100375000 |
| Square root | 222.148599 (= 5√1974) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.935 × |
49350 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and fifty |
| Binary (base 2) | 1100000011000110 |
| Octal (base 8) | 140306 |
| Hexadecimal (base 16) | C0C6 |
| Base 3 | 2111200210 |
| As time | 49350 seconds = 13 h 42 min 30 s |
Is 49350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49350 ÷ 2 = 24675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49350 ÷ 3 = 16450) | 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 (49350 ÷ 5 = 9870) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49350 ÷ 6 = 8225) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49350 ÷ 7 = 7050) | 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 (49350 ÷ 10 = 4935) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 49350 a prime number?
No. 49350 = 2 × 3 × × 7 × 47, so it is divisible by 2.
What are the factors of 49350?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 47, 50, 70, 75, 94, 105, 141, 150, 175, 210, 235, 282, 329, 350, 470, 525, 658, 705, 987, 1050, 1175, 1410, 1645, 1974, 2350, 3290, 3525, 4935, 7050, 8225, 9870, 16450, 24675, 49350.
What is 49350 in binary?
1100000011000110 (hexadecimal C0C6, octal 140306).
What is the square root of 49350?
About 222.1486, exactly 5√1974.
Is 49350 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49350?
49350 is a Harshad number: divisible by its digit sum 21.