48944016 has 135 divisors (see below), whose sum is σ = 153453937. Its totient is φ = 14551680.

The previous prime is 48944011. The next prime is 48944017. The reversal of 48944016 is 61044984.

It is a happy number.

The square root of 48944016 is 6996.

It is a perfect power (a square), and thus also a powerful number.

48944016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 13660416 = 5940^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48944011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 923446 + ... + 923498.

Almost surely, 2^48944016 is an apocalyptic number.

48944016 is the 6996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48944016

48944016 is an abundant number, since it is smaller than the sum of its proper divisors (104509921).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48944016 is a wasteful number, since it uses less digits than its factorization.

48944016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 48944016 is about 365.7911556002.

Multiplying 48944016 by its sum of digits (36), we get a square (1761984576 = 41976²).

48944016 divided by its sum of digits (36) gives a square (1359556 = 1166²).

The spelling of 48944016 in words is "forty-eight million, nine hundred forty-four thousand, sixteen".