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The number 49493

49493 is a composite number with 4 divisors. Its prime factorisation is 43 × 1151. Divisors (4): 1, 43, 1151, 49493.

Number

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How to work it out

  1. 1

    What is special about 49493: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 1151, the product of two primes.

  2. 2

    49493 is composite. Its prime factorisation is

    49493=43×115149493 = 43 \times 1151
  3. 3

    The divisors add up to 50688; without 49493 itself that is 1195, so 49493 is deficient (1195 is less than 49493). Euler's totient φ(49493) = 48300 numbers up to 49493 share no factor with it.

  4. 4

    The digits of 49493 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49493 = 43 \times 1151 \]

49493 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors50688
Euler totient φ(n)48300
Square2449557049
Cube121235927026157
Square root222.470223
Digit sum / digital root29 / 2
Collatz steps to 1127
Scientific notation4.9493 × 10410^{4}

49493 in other forms

FormValue
In wordsforty-nine thousand four hundred and ninety-three
Binary (base 2)1100000101010101
Octal (base 8)140525
Hexadecimal (base 16)C155
Base 32111220002
As time49493 seconds = 13 h 44 min 53 s

Is 49493 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 2)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.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49493 a prime number?

No. 49493 = 43 × 1151, so it is divisible by 43.

What are the factors of 49493?

1, 43, 1151, 49493.

What is 49493 in binary?

1100000101010101 (hexadecimal C155, octal 140525).

What is the square root of 49493?

About 222.4702.

Is 49493 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 49493?

49493 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 1151, the product of two primes.

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    49493: is it prime? Factors, square root, binary, Roman numeral | WordGPT