The number 49952
49952 is a composite number with 24 divisors. Its prime factorisation is × 7 × 223. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 223, 224, 446, 892, 1561 … 49952.
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How to work it out
- 1
49952 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49952 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 49952 itself that is 62944, so 49952 is abundant (62944 is more than 49952). Euler's totient φ(49952) = 21312 numbers up to 49952 share no factor with it.
- 4
The digits of 49952 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49952 = 2^{5} \times 7 \times 223 \]49952 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 21312 |
| Square | 2495202304 |
| Cube | 124640345489408 |
| Square root | 223.499441 (= 4√3122) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9952 × |
49952 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and fifty-two |
| Binary (base 2) | 1100001100100000 |
| Octal (base 8) | 141440 |
| Hexadecimal (base 16) | C320 |
| Base 3 | 2112112002 |
| As time | 49952 seconds = 13 h 52 min 32 s |
Is 49952 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49952 ÷ 2 = 24976) | 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 (49952 ÷ 4 = 12488) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (49952 ÷ 7 = 7136) | 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 (49952 ÷ 8 = 6244) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 49952 a prime number?
No. 49952 = × 7 × 223, so it is divisible by 2.
What are the factors of 49952?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 223, 224, 446, 892, 1561, 1784, 3122, 3568, 6244, 7136, 12488, 24976, 49952.
What is 49952 in binary?
1100001100100000 (hexadecimal C320, octal 141440).
What is the square root of 49952?
About 223.4994, exactly 4√3122.
Is 49952 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49952?
It is a composite number with 24 divisors.