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The number 49387

49387 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 131. Divisors (8): 1, 13, 29, 131, 377, 1703, 3799, 49387.

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How to work it out

  1. 1

    What is special about 49387: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49387 is composite. Its prime factorisation is

    49387=13×29×13149387 = 13 \times 29 \times 131
  3. 3

    The divisors add up to 55440; without 49387 itself that is 6053, so 49387 is deficient (6053 is less than 49387). Euler's totient φ(49387) = 43680 numbers up to 49387 share no factor with it.

  4. 4

    The digits of 49387 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49387 = 13 \times 29 \times 131 \]

49387 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors55440
Euler totient φ(n)43680
Square2439075769
Cube120458635003603
Square root222.231861
Digit sum / digital root31 / 4
Collatz steps to 1145
Scientific notation4.9387 × 10410^{4}

49387 in other forms

FormValue
In wordsforty-nine thousand three hundred and eighty-seven
Binary (base 2)1100000011101011
Octal (base 8)140353
Hexadecimal (base 16)C0EB
Base 32111202011
As time49387 seconds = 13 h 43 min 7 s

Is 49387 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).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49387 a prime number?

No. 49387 = 13 × 29 × 131, so it is divisible by 13.

What are the factors of 49387?

1, 13, 29, 131, 377, 1703, 3799, 49387.

What is 49387 in binary?

1100000011101011 (hexadecimal C0EB, octal 140353).

What is the square root of 49387?

About 222.2319.

Is 49387 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 49387?

49387 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    49387: is it prime? Factors, square root, binary, Roman numeral | WordGPT