The number 49852
49852 is a composite number with 18 divisors. Its prime factorisation is × × 103. Divisors (18): 1, 2, 4, 11, 22, 44, 103, 121, 206, 242, 412, 484, 1133, 2266, 4532, 12463 … 49852.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49852: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49852 is composite. Its prime factorisation is
- 3
The divisors add up to 96824; without 49852 itself that is 46972, so 49852 is deficient (46972 is less than 49852). Euler's totient φ(49852) = 22440 numbers up to 49852 share no factor with it.
- 4
The digits of 49852 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49852 = 2^{2} \times 11^{2} \times 103 \]49852 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 96824 |
| Euler totient φ(n) | 22440 |
| Square | 2485221904 |
| Cube | 123893282358208 |
| Square root | 223.275614 (= 22√103) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9852 × |
49852 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and fifty-two |
| Binary (base 2) | 1100001010111100 |
| Octal (base 8) | 141274 |
| Hexadecimal (base 16) | C2BC |
| Base 3 | 2112101101 |
| As time | 49852 seconds = 13 h 50 min 52 s |
Is 49852 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49852 ÷ 2 = 24926) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49852 ÷ 4 = 12463) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (49852 ÷ 11 = 4532) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49852 a prime number?
No. 49852 = × × 103, so it is divisible by 2.
What are the factors of 49852?
1, 2, 4, 11, 22, 44, 103, 121, 206, 242, 412, 484, 1133, 2266, 4532, 12463, 24926, 49852.
What is 49852 in binary?
1100001010111100 (hexadecimal C2BC, octal 141274).
What is the square root of 49852?
About 223.2756, exactly 22√103.
Is 49852 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49852?
49852 is a happy number: repeatedly adding the squares of its digits reaches 1.