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The number 49148

49148 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 11 × 1117. Divisors (12): 1, 2, 4, 11, 22, 44, 1117, 2234, 4468, 12287, 24574, 49148.

Number

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How to work it out

  1. 1

    49148 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

    49148 is composite. Its prime factorisation is

    49148=22×11×111749148 = 2^{2} \times 11 \times 1117
  3. 3

    The divisors add up to 93912; without 49148 itself that is 44764, so 49148 is deficient (44764 is less than 49148). Euler's totient φ(49148) = 22320 numbers up to 49148 share no factor with it.

  4. 4

    The digits of 49148 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 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49148 = 2^{2} \times 11 \times 1117 \]

49148 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors93912
Euler totient φ(n)22320
Square2415525904
Cube118718267129792
Square root221.693482 (= 2√12287)
Digit sum / digital root26 / 8
Collatz steps to 1158
Scientific notation4.9148 × 10410^{4}

49148 in other forms

FormValue
In wordsforty-nine thousand one hundred and forty-eight
Binary (base 2)1011111111111100
Octal (base 8)137774
Hexadecimal (base 16)BFFC
Base 32111102022
As time49148 seconds = 13 h 39 min 8 s

Is 49148 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49148 ÷ 2 = 24574)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.
4Yes (49148 ÷ 4 = 12287)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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.
7No (remainder 1)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 4)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.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11Yes (49148 ÷ 11 = 4468)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49148 a prime number?

No. 49148 = 222^{2} × 11 × 1117, so it is divisible by 2.

What are the factors of 49148?

1, 2, 4, 11, 22, 44, 1117, 2234, 4468, 12287, 24574, 49148.

What is 49148 in binary?

1011111111111100 (hexadecimal BFFC, octal 137774).

What is the square root of 49148?

About 221.6935, exactly 2√12287.

Is 49148 divisible by 3?

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

What is special about the number 49148?

It is a composite number with 12 divisors.

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    49148: is it prime? Factors, square root, binary, Roman numeral | WordGPT