49577088 has 128 divisors (see below), whose sum is σ = 146341440. Its totient is φ = 14868480.

The previous prime is 49577063. The next prime is 49577107. The reversal of 49577088 is 88077594.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511056 + ... + 511152.

Almost surely, 2^49577088 is an apocalyptic number.

49577088 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 49577088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73170720).

49577088 is an abundant number, since it is smaller than the sum of its proper divisors (96764352).

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

49577088 is an equidigital number, since it uses as much as digits as its factorization.

49577088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 49577088 is about 7041.0999140759. The cubic root of 49577088 is about 367.3615268019.

The spelling of 49577088 in words is "forty-nine million, five hundred seventy-seven thousand, eighty-eight".