The number 49200
49200 is a composite number with 60 divisors. Its prime factorisation is × 3 × × 41. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40 … 49200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49200: a Harshad number: divisible by its digit sum 15.
- 2
49200 is composite. Its prime factorisation is
- 3
The divisors add up to 161448; without 49200 itself that is 112248, so 49200 is abundant (112248 is more than 49200). Euler's totient φ(49200) = 12800 numbers up to 49200 share no factor with it.
- 4
The digits of 49200 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49200 = 2^{4} \times 3 \times 5^{2} \times 41 \]49200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 161448 |
| Euler totient φ(n) | 12800 |
| Square | 2420640000 |
| Cube | 119095488000000 |
| Square root | 221.810730 (= 20√123) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.92 × |
49200 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred |
| Binary (base 2) | 1100000000110000 |
| Octal (base 8) | 140060 |
| Hexadecimal (base 16) | C030 |
| Base 3 | 2111111020 |
| As time | 49200 seconds = 13 h 40 min 0 s |
Is 49200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49200 ÷ 2 = 24600) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49200 ÷ 3 = 16400) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49200 ÷ 4 = 12300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49200 ÷ 5 = 9840) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49200 ÷ 6 = 8200) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (49200 ÷ 8 = 6150) | 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 | Yes (49200 ÷ 10 = 4920) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49200 ÷ 12 = 4100) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49200 a prime number?
No. 49200 = × 3 × × 41, so it is divisible by 2.
What are the factors of 49200?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 41, 48, 50, 60, 75, 80, 82, 100, 120, 123, 150, 164, 200, 205, 240, 246, 300, 328, 400, 410, 492, 600, 615, 656, 820, 984, 1025, 1200, 1230, 1640, 1968, 2050, 2460, 3075, 3280, 4100, 4920, 6150, 8200, 9840, 12300, 16400, 24600, 49200.
What is 49200 in binary?
1100000000110000 (hexadecimal C030, octal 140060).
What is the square root of 49200?
About 221.8107, exactly 20√123.
Is 49200 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 49200?
49200 is a Harshad number: divisible by its digit sum 15.