48049632 has 96 divisors (see below), whose sum is σ = 147571200. Its totient is φ = 15168384.

The previous prime is 48049627. The next prime is 48049681. The reversal of 48049632 is 23694084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14953 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^48049632 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 48049632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73785600).

48049632 is an abundant number, since it is smaller than the sum of its proper divisors (99521568).

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

48049632 is a wasteful number, since it uses less digits than its factorization.

48049632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48049632 is about 6931.7841859077. The cubic root of 48049632 is about 363.5493355977.

The spelling of 48049632 in words is "forty-eight million, forty-nine thousand, six hundred thirty-two".