49216 has 14 divisors (see below), whose sum is σ = 97790. Its totient is φ = 24576.

The previous prime is 49211. The next prime is 49223. The reversal of 49216 is 61294.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 9216 = 200^2 + 96^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (49211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 321 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (6985).

2⁴⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

49216 is a deficient number, since it is larger than the sum of its proper divisors (48574).

49216 is an equidigital number, since it uses as much as digits as its factorization.

49216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 49216 is about 221.8467939818. The cubic root of 49216 is about 36.6467476751.

Subtracting from 49216 its sum of digits (22), we obtain a palindrome (49194).

Subtracting from 49216 its product of digits (432), we obtain a palindrome (48784).

It can be divided in two parts, 4 and 9216, that multiplied together give a square (36864 = 192²).

The spelling of 49216 in words is "forty-nine thousand, two hundred sixteen".