49812048 has 240 divisors, whose sum is σ = 170614080. Its totient is φ = 13363200.

The previous prime is 49812047. The next prime is 49812073. The reversal of 49812048 is 84021894.

49812048 is a `hidden beast` number, since 498 + 120 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49812047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844243 + ... + 844301.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^49812048 is an apocalyptic number.

49812048 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 49812048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

49812048 is an abundant number, since it is smaller than the sum of its proper divisors (120802032).

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

49812048 is a wasteful number, since it uses less digits than its factorization.

49812048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 49812048 is about 7057.7650853510. The cubic root of 49812048 is about 367.9409561857.

The spelling of 49812048 in words is "forty-nine million, eight hundred twelve thousand, forty-eight".