Number of the day: 4948

János Bolyai was born on this day 216 years ago.

Properties of the number 4948:

4948 = 2² × 1237 is the 4286^th composite number and is not squarefree.
4948 has 2 distinct prime factors, 6 divisors, 5 antidivisors and 2472 totatives.
4948 has a semiprime digit sum 25 in base 10.
4948 has sum of divisors equal to 8666 which is a sphenic number.
Reversing the decimal digits of 4948 results in a sphenic number.
4948 = 2³ + 3³ + 17³ is the sum of 3 positive cubes in 1 way.
4948 = 1238² - 1236² is the difference of 2 nonnegative squares in 1 way.
4948 is the sum of 2 positive triangular numbers.
4948 is the difference of 2 positive pentagonal numbers in 1 way.
4948 = 18² + 68² is the sum of 2 positive squares in 1 way.
4948 = 18² + 32² + 60² is the sum of 3 positive squares.
4948² = 2448² + 4300² is the sum of 2 positive squares in 1 way.
4948² is the sum of 3 positive squares.
4948 is a proper divisor of 691⁴ - 1.
4948 is palindromic in (at least) the following bases: 51, -18, -26, -27, -43, and -97.
4948 in base 19 = dd8 and consists of only the digits '8' and 'd'.
4948 in base 26 = 788 and consists of only the digits '7' and '8'.
4948 in base 40 = 33S and consists of only the digits '3' and 'S'.
4948 in base 49 = 22m and consists of only the digits '2' and 'm'.
4948 in base 50 = 1mm and consists of only the digits '1' and 'm'.
4948 in base 51 = 1k1 and consists of only the digits '1' and 'k'.

The number 4948 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A097545: Numerators of "Farey fraction" approximations to Pi.
A101135: a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.
A138854: Numbers which are the sum of three cubes of distinct primes.
A163937: Triangle related to the o.g.f.s. of the right hand columns of A028421 (E(x,m=2,n)).
A179186: Numbers n such that phi(n) = phi(n+4), with Euler's totient function phi=A000010.
A190402: Number n for which phi(n) = phi(n'), where phi is the Euler totient function and n' the arithmetic derivative of n.
A227025: T(n,k)=Number of nXk (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order
A241638: Number of partitions p of n such that (number of even numbers in p) = (number of odd numbers in p).
A269011: T(n,k)=Number of nXk binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.
A300120: Number of skew partitions whose quotient diagram is connected and whose numerator has weight n.