Properties of the Number 74849

Seventy-Four Thousand Eight Hundred Forty-Nine

Basics

Value: 74848 → 74849 → 74850

Parity: odd

Prime: No

Previous Prime: 74843

Next Prime: 74857

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 29 ² × 89

Divisors: 1, 29, 89, 841, 2581, 74849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010001100001

Octal: 222141

Duodecimal: 37395

Hexadecimal: 12461

Square: 5602372801

Square Root: 273.5854528296415

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) is the smallest number k such that factorizations of n consecutive integers starting at k have the same excess of number of primes counted with multiplicity over number of primes counted without multiplicity (A046660). A323253

4*(n + 7)³ - 27*(n + 7)² = (4·n +1)*(n+7)². A245033

a(n) = 4·prime(n)³ - 27·prime(n)² = (prime(n)²)*[4·prime(n) - 27], n >= 4. A245036

a(n) = ∑_i=1..n-1(i^n-2) mod n⁴. A284760

Least of five consecutive numbers which are cubefree and not squarefree, i.e., {k, k+1, k+2, k+3, k+4} are in A067259. A71124

Numbers k such that the concatenation of k with 4·k gives a square. A115535

Sum of all matrix elements of n X n matrix M[i,j] = (-1)^i+j*Fibonacci[i+j-1]. A119997

a(n) = A175369(n²). A175370

4-infinitary perfect numbers: numbers k such that 4-infinitary-σ(k) = 2·k. A74849

"Early bird" squares: write the natural numbers in a string 12345678910111213.... Sequence gives squares which occur in the string ahead of their natural place. A141817