Properties of the Number 48353

Forty-Eight Thousand Three Hundred Fifty-Three

Basics

Value: 48352 → 48353 → 48354

Parity: odd

Prime: Yes

Previous Prime: 48341

Next Prime: 48371

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 48353

Divisors: 1, 48353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011110011100001

Octal: 136341

Duodecimal: 23B95

Hexadecimal: bce1

Square: 2338012609

Square Root: 219.89315587348324

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

L.g.f.: log( ∑_n>=0 x^n² ), the log of the characteristic function of the squares. A162552

Largest of 3 consecutive prime numbers such that p1·p2·p3 + d1 + d2 + 1 = average of twin prime pairs, d1 (δ) = p2 - p1, d2 (δ) = p3 - p2. A153408

Expansion of exp(2x)/sqrt(1-x²). A81920

Primes of the form 5·x² - 3·y², where·and y are consecutive numbers. A176470

Constant term in the reduction by (x²->x+1) of the polynomial p(n,x) defined below at Comments. A192924

G.f. A(x) satisfies: A(x) = 1 + x·A(x)² - x²/A(x)². A295504

Number of n X 2 binary arrays with each 1 adjacent to exactly one 0 vertically and one 0 horizontally. A183344

a(n)² is the smallest square containing exactly n 8's. A48353