Math question: How many prime numbers are there between 4000 and 5000 (inclusive)?

To find the prime numbers between 4000 and 5000, we can use the Sieve of Eratosthenes method. We start by listing all numbers from 4000 to 5000, then cross off all multiples of each individual prime number. The remaining uncrossed numbers will be prime. By applying this method, we find that there are 62 prime numbers between 4000 and 5000.

Math question: How many different three-digit numbers can be formed using the digits in the number 4996 if repetition is allowed?

To solve this, we need to count the possibilities for each digit place. The first digit can be chosen from the four available: 4, 9, 9, or 6. Similarly, the second digit also has four options. For the third digit, we have three choices since we cannot repeat the first or second digit. Therefore, the total number of three-digit numbers that can be formed is 4 × 4 × 3 = 48.

Math Question: What is the sum of all the even numbers less than or equal to 4996?

To find the sum of the even numbers, we sort them in ascending order: 2, 4, 6, ..., 4996. It's an arithmetic sequence with a common difference of 2. Using the arithmetic series formula Sn = (n/2)(2a + (n-1)d), where Sn is the sum, a is the first term, and d is the common difference, we have a = 2, d = 2, and n = (4996 - 2)/2 + 1 = 2499. Plugging these values into the formula, we get Sn = (2499/2)(2 + (2499 - 1)(2)) = (2499/2)(2500) = 3,124,750. Therefore, the sum of all the even numbers less than or equal to 4996 is 3,124,750.

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

4996 (number)

4996 is an even 4-digits composite number following 4995 and preceding 4997. In scientific notation, it is written as 4.996 × 10^3. The sum of its digits is 28. It has a total of 3 prime factors and 6 positive divisors. There are 2496 positive integers (up to 4996) that are relatively prime to 4996.

Interesting facts

4996 has 6 divisors, whose sum is 8750
The reverse of 4996 is 6994
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 28
Digital Root 1

Name

Name	four thousand nine hundred ninety-six

Notation

Scientific notation	4.996 × 10^3
Engineering notation	4.996 × 10^3

Prime Factorization of 4996

Prime Factorization 2 × 2 × 1249

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	2498	Product of the distinct prime numbers

The prime factorization of 4996 is 2 × 2 × 1249. Since it has a total of 3 prime factors.

Most popular turbo-numbers

3, 2, 68, 55, 421, 467, 4483, 7030, 28542, 21352, 620555, 42882, 2834628, 8036681, 20982176, 247141, 599127480, 415334119, 8374264061, 4474677040

Basic calculations (n = 4996)

Multiplication

n×y

n×2	9992
n×3	14988
n×4	19984
n×5	24980

Division

n÷y

n÷2	2498
n÷3	1665.3333333333
n÷3	1249
n÷5	999.2

Exponentiation

n^y

n²	24960016
n³	124700239936
n⁴	623002398720256
n⁵	3112519984006398976

Nth Root

^y√n

²√n	70.682388188289
³√n	17.095198314386
⁴√n	8.4072818549332
⁵√n	5.4919235867294

Divisors of 4996

1, 2, 4, 1249, 2498, 4996

6 divisors

τ	Total Divisors	6	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-4995	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.16666666666667	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	6	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 4996 can be divided by 6 positive divisors. The sum of these divisors (counting 4996) is 1, the average is 0.16666666666667.

Base conversion 4996

Base	System	Value
2	Binary	1001110000100
3	Ternary	20212001
4	Quaternary	1032010
5	Quinary	124441
6	Senary	35044
8	Octal	11604
10	Decimal	4996
12	Duodecimal	2a84
16	Hexadecimal	1384
20	Vigesimal	c9g
36	Base36	3us

Cryptographic Hash Functions

md5	e586a4f55fb43a540c2e9dab45e00f53
sha1	838ab2376ca62b79a880f486421575722ee00c46
sha256	576da443f7be5075a80a943b2501b19011ffd6cbec435df69e1cbb91061723f5
sha512	db667ef5082ad020ae67dd4c6c3db18c56b28a02df2ae897d57a8f027e3dab19a8158685de418d92595b56d2665c88ab245ecb41444db94300852c343456ce84
ripemd-160	150642a61726afb033e3bff3a80cf311281ddb00

4996 as geometric shapes

Circle

Radius = n

Diameter	9992
Circumference	31390.793794669
Area	78414202.899084

Sphere

Radius = n

Volume	522343143578.43
Surface area	313656811.59633
Circumference	31390.793794669

Square

Length = n

Perimeter	19984
Area	24960016
Diagonal	7065.410957616

Cube

Length = n

Surface area	149760096
Volume	124700239936
Space diagonal	8653.3258346141

Equilateral Triangle

Length = n

Perimeter	14988
Area	10808003.967433
Altitude	4326.6629173071

Triangular Pyramid

Length = n

Surface area	10808003.967433
Volume	14696064212.389
Height	2355.136985872