WordGPT

The number 48749

48749 is a composite number with 6 divisors. Its prime factorisation is 29 Ɨ 41241^{2}. Divisors (6): 1, 29, 41, 1189, 1681, 48749.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 48749: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    48749 is composite. Its prime factorisation is

    48749=29Ɨ41248749 = 29 \times 41^{2}
  3. 3

    The divisors add up to 51690; without 48749 itself that is 2941, so 48749 is deficient (2941 is less than 48749). Euler's totient φ(48749) = 45920 numbers up to 48749 share no factor with it.

  4. 4

    The digits of 48749 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48749 = 29 \times 41^{2} \]

48749 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors51690
Euler totient φ(n)45920
Square2376465001
Cube115850292333749
Square root220.791757 (= 41√29)
Digit sum / digital root32 / 5
Collatz steps to 196
Scientific notation4.8749 Ɨ 10410^{4}

48749 in other forms

FormValue
In wordsforty-eight thousand seven hundred and forty-nine
Binary (base 2)1011111001101101
Octal (base 8)137155
Hexadecimal (base 16)BE6D
Base 32110212112
As time48749 seconds = 13 h 32 min 29 s

Is 48749 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 4)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48749 a prime number?

No. 48749 = 29 Ɨ 41241^{2}, so it is divisible by 29.

What are the factors of 48749?

1, 29, 41, 1189, 1681, 48749.

What is 48749 in binary?

1011111001101101 (hexadecimal BE6D, octal 137155).

What is the square root of 48749?

About 220.7918, exactly 41√29.

Is 48749 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 48749?

48749 is a happy number: repeatedly adding the squares of its digits reaches 1.

Find the next one

Nearby numbers

    48749: is it prime? Factors, square root, binary, Roman numeral | WordGPT