The number 49496
49496 is a composite number with 16 divisors. Its prime factorisation is × 23 × 269. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 269, 538, 1076, 2152, 6187, 12374, 24748, 49496.
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How to work it out
- 1
What is special about 49496: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49496 is composite. Its prime factorisation is
- 3
The divisors add up to 97200; without 49496 itself that is 47704, so 49496 is deficient (47704 is less than 49496). Euler's totient φ(49496) = 23584 numbers up to 49496 share no factor with it.
- 4
The digits of 49496 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49496 = 2^{3} \times 23 \times 269 \]49496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97200 |
| Euler totient φ(n) | 23584 |
| Square | 2449854016 |
| Cube | 121257974375936 |
| Square root | 222.476965 (= 2√12374) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9496 × |
49496 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and ninety-six |
| Binary (base 2) | 1100000101011000 |
| Octal (base 8) | 140530 |
| Hexadecimal (base 16) | C158 |
| Base 3 | 2111220012 |
| As time | 49496 seconds = 13 h 44 min 56 s |
Is 49496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49496 ÷ 2 = 24748) | 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 (49496 ÷ 4 = 12374) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 (49496 ÷ 8 = 6187) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 49496 a prime number?
No. 49496 = × 23 × 269, so it is divisible by 2.
What are the factors of 49496?
1, 2, 4, 8, 23, 46, 92, 184, 269, 538, 1076, 2152, 6187, 12374, 24748, 49496.
What is 49496 in binary?
1100000101011000 (hexadecimal C158, octal 140530).
What is the square root of 49496?
About 222.4770, exactly 2√12374.
Is 49496 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49496?
49496 is a happy number: repeatedly adding the squares of its digits reaches 1.