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The number 49245

49245 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × 727^{2} × 67. Divisors (24): 1, 3, 5, 7, 15, 21, 35, 49, 67, 105, 147, 201, 245, 335, 469, 735 … 49245.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49245 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    49245 is composite. Its prime factorisation is

    49245=3×5×72×6749245 = 3 \times 5 \times 7^{2} \times 67
  3. 3

    The divisors add up to 93024; without 49245 itself that is 43779, so 49245 is deficient (43779 is less than 49245). Euler's totient φ(49245) = 22176 numbers up to 49245 share no factor with it.

  4. 4

    The digits of 49245 add up to 24, 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
\[ 49245 = 3 \times 5 \times 7^{2} \times 67 \]

49245 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors93024
Euler totient φ(n)22176
Square2425070025
Cube119422573381125
Square root221.912145 (= 7√1005)
Digit sum / digital root24 / 6
Collatz steps to 1158
Scientific notation4.9245 × 10410^{4}

49245 in other forms

FormValue
In wordsforty-nine thousand two hundred and forty-five
Binary (base 2)1100000001011101
Octal (base 8)140135
Hexadecimal (base 16)C05D
Base 32111112220
As time49245 seconds = 13 h 40 min 45 s

Is 49245 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (49245 ÷ 3 = 16415)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49245 ÷ 5 = 9849)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (49245 ÷ 7 = 7035)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49245 a prime number?

No. 49245 = 3 × 5 × 727^{2} × 67, so it is divisible by 3.

What are the factors of 49245?

1, 3, 5, 7, 15, 21, 35, 49, 67, 105, 147, 201, 245, 335, 469, 735, 1005, 1407, 2345, 3283, 7035, 9849, 16415, 49245.

What is 49245 in binary?

1100000001011101 (hexadecimal C05D, octal 140135).

What is the square root of 49245?

About 221.9121, exactly 7√1005.

Is 49245 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 49245?

It is a composite number with 24 divisors.

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    49245: is it prime? Factors, square root, binary, Roman numeral | WordGPT