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The number 49490

49490 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × 727^{2} × 101. Divisors (24): 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 101, 202, 245, 490, 505, 707 … 49490.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49490 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

    49490 is composite. Its prime factorisation is

    49490=2×5×72×10149490 = 2 \times 5 \times 7^{2} \times 101
  3. 3

    The divisors add up to 104652; without 49490 itself that is 55162, so 49490 is abundant (55162 is more than 49490). Euler's totient φ(49490) = 16800 numbers up to 49490 share no factor with it.

  4. 4

    The digits of 49490 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49490 = 2 \times 5 \times 7^{2} \times 101 \]

49490 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors104652
Euler totient φ(n)16800
Square2449260100
Cube121213882349000
Square root222.463480 (= 7√1010)
Digit sum / digital root26 / 8
Collatz steps to 1145
Scientific notation4.949 × 10410^{4}

49490 in other forms

FormValue
In wordsforty-nine thousand four hundred and ninety
Binary (base 2)1100000101010010
Octal (base 8)140522
Hexadecimal (base 16)C152
Base 32111212222
As time49490 seconds = 13 h 44 min 50 s

Is 49490 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49490 ÷ 2 = 24745)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49490 ÷ 5 = 9898)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (49490 ÷ 7 = 7070)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (49490 ÷ 10 = 4949)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49490 a prime number?

No. 49490 = 2 × 5 × 727^{2} × 101, so it is divisible by 2.

What are the factors of 49490?

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 101, 202, 245, 490, 505, 707, 1010, 1414, 3535, 4949, 7070, 9898, 24745, 49490.

What is 49490 in binary?

1100000101010010 (hexadecimal C152, octal 140522).

What is the square root of 49490?

About 222.4635, exactly 7√1010.

Is 49490 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 49490?

It is a composite number with 24 divisors.

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    49490: is it prime? Factors, square root, binary, Roman numeral | WordGPT