The number 49929
49929 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 17 × 89. Divisors (16): 1, 3, 11, 17, 33, 51, 89, 187, 267, 561, 979, 1513, 2937, 4539, 16643, 49929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49929: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.
- 2
49929 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 49929 itself that is 27831, so 49929 is deficient (27831 is less than 49929). Euler's totient φ(49929) = 28160 numbers up to 49929 share no factor with it.
- 4
The digits of 49929 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49929 = 3 \times 11 \times 17 \times 89 \]
49929 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 28160 |
| Square | 2492905041 |
| Cube | 124468255792089 |
| Square root | 223.447981 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9929 × |
49929 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and twenty-nine |
| Binary (base 2) | 1100001100001001 |
| Octal (base 8) | 141411 |
| Hexadecimal (base 16) | C309 |
| Base 3 | 2112111020 |
| As time | 49929 seconds = 13 h 52 min 9 s |
Is 49929 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49929 ÷ 3 = 16643) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49929 ÷ 11 = 4539) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49929 a prime number?
No. 49929 = 3 × 11 × 17 × 89, so it is divisible by 3.
What are the factors of 49929?
1, 3, 11, 17, 33, 51, 89, 187, 267, 561, 979, 1513, 2937, 4539, 16643, 49929.
What is 49929 in binary?
1100001100001001 (hexadecimal C309, octal 141411).
What is the square root of 49929?
About 223.4480.
Is 49929 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49929?
49929 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 33.