Question: A number, when multiplied by 23 and then divided by 49, leaves a remainder of 38. What is the smallest positive integer that satisfies this condition, if it is less than or equal to 4938?

To find the answer, we look for a number that when multiplied by 23, leaves a remainder of 38 when divided by 49. We can write this in equation form as 23x ≡ 38 (mod 49), where x is our unknown integer. Using modular arithmetic properties, we can simplify this equation further: 23x ≡ 38 (mod 49) 4x ≡ 38 (mod 49) (multiplying both sides by 23^-1 ≡ 4 (mod 49)) x ≡ 10 (mod 49) Now, we need to find the smallest positive integer that satisfies this congruence. By inspecting multiples of 49, we find that the smallest value of x is 48, as 48 ≡ 10 (mod 49). Therefore, the smallest positive integer satisfying the condition is 48.

Math question: What is the sum of all the even numbers from 0 to 4938?

To find the sum of even numbers up to 4938, we can apply the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. The first even number is 0, and to find the last even number less than or equal to 4938, we can divide it by 2 and multiply by 2 again, which gives 4938. Thus, n = (4938-0)/2 + 1 = 2470. Plugging in these values into the formula, we get Sn = (2470/2)(0 + 4938) = 6,091,830. Hence, the sum of all the even numbers from 0 to 4938 is 6,091,830.

Math question: If 4938 is divided by 27, rounded to the nearest whole number, and multiplied by 5, what is the result?

To solve this, we divide 4938 by 27 and round the result. Dividing 4938 by 27 gives approximately 183. If we multiply 183 by 5, we get 915. Therefore, the result is 915 after rounding to the nearest whole number.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

4938 (number)

4938 is an even 4-digits composite number following 4937 and preceding 4939. In scientific notation, it is written as 4.938 × 10^3. The sum of its digits is 24. It has a total of 3 prime factors and 8 positive divisors. There are 1644 positive integers (up to 4938) that are relatively prime to 4938.

Interesting facts

4938 has 8 divisors, whose sum is 9888
The reverse of 4938 is 8394
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 24
Digital Root 6

Name

Name	four thousand nine hundred thirty-eight

Notation

Scientific notation	4.938 × 10^3
Engineering notation	4.938 × 10^3

Prime Factorization of 4938

Prime Factorization 2 × 3 × 823

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	4938	Product of the distinct prime numbers

The prime factorization of 4938 is 2 × 3 × 823. Since it has a total of 3 prime factors.

Most popular turbo-numbers

1, 10, 63, 4, 144, 723, 8447, 643, 15232, 88087, 930277, 192410, 361095, 5286138, 68170722, 17100723, 29158425, 102950960, 3677622049, 8934994644

Basic calculations (n = 4938)

Multiplication

n×y

n×2	9876
n×3	14814
n×4	19752
n×5	24690

Division

n÷y

n÷2	2469
n÷3	1646
n÷3	1234.5
n÷5	987.6

Exponentiation

n^y

n²	24383844
n³	120407421672
n⁴	594571848216336
n⁵	2935995786492267168

Nth Root

^y√n

²√n	70.270904363043
³√n	17.028786291772
⁴√n	8.3827742641111
⁵√n	5.479112492831

Divisors of 4938

1, 2, 3, 6, 823, 1646, 2469, 4938

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-4937	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 4938 can be divided by 8 positive divisors. The sum of these divisors (counting 4938) is 1, the average is 0.125.

Base conversion 4938

Base	System	Value
2	Binary	1001101001010
3	Ternary	20202220
4	Quaternary	1031022
5	Quinary	124223
6	Senary	34510
8	Octal	11512
10	Decimal	4938
12	Duodecimal	2a36
16	Hexadecimal	134a
20	Vigesimal	c6i
36	Base36	3t6

Cryptographic Hash Functions

md5	ec16c57ed363c5ca91a3e5e5b88fe502
sha1	9221eb7c28fd88f28fdd2d9100a20e285ab572b0
sha256	4f692e0f26fb1fa5e8eb946176d01dfe74762416726b9625256c306d7d07d6a7
sha512	81b366cbecb554d8de19ee924a8d1bd3369195d46790e60a930de288d98f269d87e88f24dadddfcd9b05bbcf65ede29dd44a1fd567ed8c3be5d437f9915a2c75
ripemd-160	1e6998fdf0f6c1c9c3d134cc92612170d414ab77

4938 as geometric shapes

Circle

Radius = n

Diameter	9876
Circumference	31026.369046853
Area	76604105.17668

Sphere

Radius = n

Volume	504361428483.26
Surface area	306416420.70672
Circumference	31026.369046853

Square

Length = n

Perimeter	19752
Area	24383844
Diagonal	6983.3865709983

Cube

Length = n

Surface area	146303064
Volume	120407421672
Space diagonal	8552.8668877751

Equilateral Triangle

Length = n

Perimeter	14814
Area	10558514.172958
Altitude	4276.4334438876

Triangular Pyramid

Length = n

Surface area	10558514.172958
Volume	14190150728.243
Height	2327.7955236661