What is the largest 4-digit number divisible by 3 and 9, whose digits add up to 33?

The largest 4-digit number divisible by 3 and 9, whose digits add up to 33, is 8991. To find this, we notice that a number is divisible by 3 if the sum of its digits is divisible by 3. So, we look for numbers with digits adding up to 33. Starting with the largest digit, 9, we can try different combinations of 9's, as long as the resulting number is divisible by both 3 and 9. By trying different combinations, we find 8991 as the largest number that meets these criteria.

Math Question: What is the sum of the digits of the number 7989 when each digit is raised to the power of its place value?

To find the sum, we raise each digit to the power of its place value - 7^3 + 9^2 + 8^1 + 9^0. Evaluating this gives 343 + 81 + 8 + 1 = 433. Hence, the sum of the digits when raised to the power of their place value in the number 7989 is 433.

Question: The number 7989 is divisible by a certain positive integer. If the digits of the number are rearranged, it becomes divisible by the square of that integer. What is the largest possible value of that positive integer?

To find the largest possible value of the positive integer, we can look at the common factors shared by 7989 and all its digit rearrangements. The prime factorization of 7989 is 3 * 37 * 72. Observing the powers of 3, 37, and 7 present in the prime factorizations of 7989 and its rearrangements, we notice that the square of 3 (which is 9) is the highest power common to all rearrangements. Therefore, the largest possible value of the positive integer is 3.

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

7989 (number)

7989 is an odd 4-digits composite number following 7988 and preceding 7990. In scientific notation, it is written as 7.989 × 10^3. The sum of its digits is 33. It has a total of 2 prime factors and 4 positive divisors. There are 5324 positive integers (up to 7989) that are relatively prime to 7989.

Interesting facts

7989 has 4 divisors, whose sum is 10656
The reverse of 7989 is 9897
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 33
Digital Root 6

Name

Name	seven thousand nine hundred eighty-nine

Notation

Scientific notation	7.989 × 10^3
Engineering notation	7.989 × 10^3

Prime Factorization of 7989

Prime Factorization 3 × 2663

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	7989	Product of the distinct prime numbers

The prime factorization of 7989 is 3 × 2663. Since it has a total of 2 prime factors.

Most popular turbo-numbers

4, 6, 35, 97, 937, 149, 8252, 4518, 83523, 96018, 952099, 554855, 9820825, 1543846, 79483773, 9772557, 736160417, 395212467, 7142841081, 9722023808

Basic calculations (n = 7989)

Multiplication

n×y

n×2	15978
n×3	23967
n×4	31956
n×5	39945

Division

n÷y

n÷2	3994.5
n÷3	2663
n÷3	1997.25
n÷5	1597.8

Exponentiation

n^y

n²	63824121
n³	509890902669
n⁴	4073518421422641
n⁵	3.2543338668745E+19

Nth Root

^y√n

²√n	89.381206078235
³√n	19.990829128732
⁴√n	9.454163425615
⁵√n	6.0325160246298

Divisors of 7989

1, 3, 2663, 7989

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7988	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7989 can be divided by 4 positive divisors. The sum of these divisors (counting 7989) is 1, the average is 0.25.

Base conversion 7989

Base	System	Value
2	Binary	1111100110101
3	Ternary	101221220
4	Quaternary	1330311
5	Quinary	223424
6	Senary	100553
8	Octal	17465
10	Decimal	7989
12	Duodecimal	4759
16	Hexadecimal	1f35
20	Vigesimal	jj9
36	Base36	65x

Cryptographic Hash Functions

md5	48c34cb86aa86816e112a44ef2bf4c30
sha1	f9e14b2dae23a5dc3efb32d6baab162e513e5490
sha256	89318a103722e26c214e30af015546b2cff2a38fc010627fa903fe8b690913e8
sha512	218ff4841eecd2818bcf13c843fc25e12395fe1c70205e461f4fd7d773597890e85ab16ca327c73c77af2d9a063625836a5350f0c701f89e350457dea37e0296
ripemd-160	575026e6f97fa5a6d7b4cb90b54825f37e5ae3f8

7989 as geometric shapes

Circle

Radius = n

Diameter	15978
Circumference	50196.367419058
Area	200509389.65543

Sphere

Radius = n

Volume	2135826018609.6
Surface area	802037558.6217
Circumference	50196.367419058

Square

Length = n

Perimeter	31956
Area	63824121
Diagonal	11298.152149799

Cube

Length = n

Surface area	382944726
Volume	509890902669
Space diagonal	13837.353901668

Equilateral Triangle

Length = n

Perimeter	23967
Area	27636655.080106
Altitude	6918.6769508339

Triangular Pyramid

Length = n

Surface area	27636655.080106
Volume	60091219157.097
Height	3766.0507165996