The number 49374
49374 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 211. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 211, 234, 422, 633, 1266 … 49374.
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How to work it out
- 1
49374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49374 is composite. Its prime factorisation is
- 3
The divisors add up to 115752; without 49374 itself that is 66378, so 49374 is abundant (66378 is more than 49374). Euler's totient φ(49374) = 15120 numbers up to 49374 share no factor with it.
- 4
The digits of 49374 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49374 = 2 \times 3^{2} \times 13 \times 211 \]49374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 115752 |
| Euler totient φ(n) | 15120 |
| Square | 2437791876 |
| Cube | 120363536085624 |
| Square root | 222.202610 (= 3√5486) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9374 × |
49374 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and seventy-four |
| Binary (base 2) | 1100000011011110 |
| Octal (base 8) | 140336 |
| Hexadecimal (base 16) | C0DE |
| Base 3 | 2111201200 |
| As time | 49374 seconds = 13 h 42 min 54 s |
Is 49374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49374 ÷ 2 = 24687) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49374 ÷ 3 = 16458) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49374 ÷ 6 = 8229) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49374 ÷ 9 = 5486) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 49374 a prime number?
No. 49374 = 2 × × 13 × 211, so it is divisible by 2.
What are the factors of 49374?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 211, 234, 422, 633, 1266, 1899, 2743, 3798, 5486, 8229, 16458, 24687, 49374.
What is 49374 in binary?
1100000011011110 (hexadecimal C0DE, octal 140336).
What is the square root of 49374?
About 222.2026, exactly 3√5486.
Is 49374 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49374?
It is a composite number with 24 divisors.