48776544 has 72 divisors (see below), whose sum is σ = 139459320. Its totient is φ = 16171008.

The previous prime is 48776531. The next prime is 48776551. The reversal of 48776544 is 44567784.

It is a tau number, because it is divible by the number of its divisors (72).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 48776544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73687 + ... + 74345.

It is an arithmetic number, because the mean of its divisors is an integer number (1936935).

Almost surely, 2^48776544 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 48776544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69729660).

48776544 is an abundant number, since it is smaller than the sum of its proper divisors (90682776).

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

48776544 is a wasteful number, since it uses less digits than its factorization.

48776544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 48776544 is about 6984.0206185263. The cubic root of 48776544 is about 365.3734689893.

The spelling of 48776544 in words is "forty-eight million, seven hundred seventy-six thousand, five hundred forty-four".