48956544 has 192 divisors, whose sum is σ = 173759040. Its totient is φ = 12883968.

The previous prime is 48956543. The next prime is 48956591. The reversal of 48956544 is 44565984.

48956544 is a `hidden beast` number, since 4 + 89 + 565 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 48956544.

It is not an unprimeable number, because it can be changed into a prime (48956543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104599 + ... + 105065.

It is an arithmetic number, because the mean of its divisors is an integer number (904995).

Almost surely, 2^48956544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86879520).

48956544 is an abundant number, since it is smaller than the sum of its proper divisors (124802496).

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

48956544 is a wasteful number, since it uses less digits than its factorization.

48956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 48956544 is about 6996.8953114935. The cubic root of 48956544 is about 365.8223629607.

The spelling of 48956544 in words is "forty-eight million, nine hundred fifty-six thousand, five hundred forty-four".