49761648 has 80 divisors (see below), whose sum is σ = 144117760. Its totient is φ = 16438464.

The previous prime is 49761643. The next prime is 49761689. The reversal of 49761648 is 84616794.

It is a super-2 number, since 2×49761648² = 4952443223351808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49761641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54411 + ... + 55317.

It is an arithmetic number, because the mean of its divisors is an integer number (1801472).

Almost surely, 2^49761648 is an apocalyptic number.

49761648 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 49761648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72058880).

49761648 is an abundant number, since it is smaller than the sum of its proper divisors (94356112).

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

49761648 is a wasteful number, since it uses less digits than its factorization.

49761648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49761648 is about 7054.1936463355. The cubic root of 49761648 is about 367.8168196710.

The spelling of 49761648 in words is "forty-nine million, seven hundred sixty-one thousand, six hundred forty-eight".