WordGPT

The number 49700

49700 is a composite number with 36 divisors. Its prime factorisation is 222^{2} × 525^{2} × 7 × 71. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 71, 100, 140 … 49700.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 49700: a Harshad number: divisible by its digit sum 20.

  2. 2

    49700 is composite. Its prime factorisation is

    49700=22×52×7×7149700 = 2^{2} \times 5^{2} \times 7 \times 71
  3. 3

    The divisors add up to 124992; without 49700 itself that is 75292, so 49700 is abundant (75292 is more than 49700). Euler's totient φ(49700) = 16800 numbers up to 49700 share no factor with it.

  4. 4

    The digits of 49700 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49700 = 2^{2} \times 5^{2} \times 7 \times 71 \]

49700 at a glance

PropertyValue
Typecomposite
Number of divisors36
Sum of divisors124992
Euler totient φ(n)16800
Square2470090000
Cube122763473000000
Square root222.934968 (= 10√497)
Digit sum / digital root20 / 2
Collatz steps to 196
Scientific notation4.97 × 10410^{4}

49700 in other forms

FormValue
In wordsforty-nine thousand seven hundred
Binary (base 2)1100001000100100
Octal (base 8)141044
Hexadecimal (base 16)C224
Base 32112011202
As time49700 seconds = 13 h 48 min 20 s

Is 49700 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49700 ÷ 2 = 24850)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 (49700 ÷ 4 = 12425)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49700 ÷ 5 = 9940)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 (49700 ÷ 7 = 7100)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (49700 ÷ 10 = 4970)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 49700 a prime number?

No. 49700 = 222^{2} × 525^{2} × 7 × 71, so it is divisible by 2.

What are the factors of 49700?

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 71, 100, 140, 142, 175, 284, 350, 355, 497, 700, 710, 994, 1420, 1775, 1988, 2485, 3550, 4970, 7100, 9940, 12425, 24850, 49700.

What is 49700 in binary?

1100001000100100 (hexadecimal C224, octal 141044).

What is the square root of 49700?

About 222.9350, exactly 10√497.

Is 49700 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 49700?

49700 is a Harshad number: divisible by its digit sum 20.

Find the next one

Nearby numbers

    49700: is it prime? Factors, square root, binary, Roman numeral | WordGPT