The number 49672
49672 is a composite number with 16 divisors. Its prime factorisation is × 7 × 887. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 887, 1774, 3548, 6209, 7096, 12418, 24836, 49672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49672: a Harshad number: divisible by its digit sum 28.
- 2
49672 is composite. Its prime factorisation is
- 3
The divisors add up to 106560; without 49672 itself that is 56888, so 49672 is abundant (56888 is more than 49672). Euler's totient φ(49672) = 21264 numbers up to 49672 share no factor with it.
- 4
The digits of 49672 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49672 = 2^{3} \times 7 \times 887 \]49672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106560 |
| Euler totient φ(n) | 21264 |
| Square | 2467307584 |
| Cube | 122556102312448 |
| Square root | 222.872161 (= 2√12418) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9672 × |
49672 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and seventy-two |
| Binary (base 2) | 1100001000001000 |
| Octal (base 8) | 141010 |
| Hexadecimal (base 16) | C208 |
| Base 3 | 2112010201 |
| As time | 49672 seconds = 13 h 47 min 52 s |
Is 49672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49672 ÷ 2 = 24836) | 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 (49672 ÷ 4 = 12418) | 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 | Yes (49672 ÷ 7 = 7096) | 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 (49672 ÷ 8 = 6209) | 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 | No (remainder 7) | 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 49672 a prime number?
No. 49672 = × 7 × 887, so it is divisible by 2.
What are the factors of 49672?
1, 2, 4, 7, 8, 14, 28, 56, 887, 1774, 3548, 6209, 7096, 12418, 24836, 49672.
What is 49672 in binary?
1100001000001000 (hexadecimal C208, octal 141010).
What is the square root of 49672?
About 222.8722, exactly 2√12418.
Is 49672 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49672?
49672 is a Harshad number: divisible by its digit sum 28.