49005648 has 50 divisors (see below), whose sum is σ = 141840314. Its totient is φ = 16334784.

The previous prime is 49005647. The next prime is 49005667. The reversal of 49005648 is 84650094.

49005648 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 24324624 = 4968^2 + 4932^2 .

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 (49005643) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17611 + ... + 20202.

Almost surely, 2^49005648 is an apocalyptic number.

49005648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49005648 is an abundant number, since it is smaller than the sum of its proper divisors (92834666).

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

49005648 is a wasteful number, since it uses less digits than its factorization.

49005648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37833 (or 37818 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49005648 is about 7000.4034169468. The cubic root of 49005648 is about 365.9446301619.

The spelling of 49005648 in words is "forty-nine million, five thousand, six hundred forty-eight".