48414048 has 48 divisors (see below), whose sum is σ = 128894976. Its totient is φ = 15908480.

The previous prime is 48414029. The next prime is 48414049. The reversal of 48414048 is 84041484.

It is a happy number.

48414048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48414049) 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 7 ways as a sum of consecutive naturals, for example, 3265 + ... + 10367.

It is an arithmetic number, because the mean of its divisors is an integer number (2685312).

Almost surely, 2^48414048 is an apocalyptic number.

48414048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447488).

48414048 is an abundant number, since it is smaller than the sum of its proper divisors (80480928).

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

48414048 is a wasteful number, since it uses less digits than its factorization.

48414048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 48414048 is about 6958.0204081333. The cubic root of 48414048 is about 364.4660937411.

The spelling of 48414048 in words is "forty-eight million, four hundred fourteen thousand, forty-eight".