48642048 has 288 divisors, whose sum is σ = 178869600. Its totient is φ = 12386304.

The previous prime is 48641993. The next prime is 48642053. The reversal of 48642048 is 84024684.

48642048 is a `hidden beast` number, since 4 + 8 + 642 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1677298 + ... + 1677326.

It is an arithmetic number, because the mean of its divisors is an integer number (621075).

Almost surely, 2^48642048 is an apocalyptic number.

48642048 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 48642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

48642048 is an abundant number, since it is smaller than the sum of its proper divisors (130227552).

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

48642048 is a wasteful number, since it uses less digits than its factorization.

48642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48642048 is about 6974.3851341892. The cubic root of 48642048 is about 365.0373340182.

The spelling of 48642048 in words is "forty-eight million, six hundred forty-two thousand, forty-eight".