49146048 has 224 divisors, whose sum is σ = 175564800. Its totient is φ = 13160448.

The previous prime is 49146047. The next prime is 49146059. The reversal of 49146048 is 84064194.

It is a happy number.

49146048 is a `hidden beast` number, since 49 + 1 + 4 + 604 + 8 = 666.

49146048 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 (224).

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

It is not an unprimeable number, because it can be changed into a prime (49146047) 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 31 ways as a sum of consecutive naturals, for example, 205513 + ... + 205751.

Almost surely, 2^49146048 is an apocalyptic number.

49146048 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 49146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

49146048 is an abundant number, since it is smaller than the sum of its proper divisors (126418752).

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

49146048 is a wasteful number, since it uses less digits than its factorization.

49146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49146048 is about 7010.4242382327. The cubic root of 49146048 is about 366.2937711279.

The spelling of 49146048 in words is "forty-nine million, one hundred forty-six thousand, forty-eight".