49382688 has 48 divisors (see below), whose sum is σ = 137259360. Its totient is φ = 15492096.

The previous prime is 49382657. The next prime is 49382689. The reversal of 49382688 is 88628394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (49382689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13498 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (2859570).

Almost surely, 2^49382688 is an apocalyptic number.

49382688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49382688 is an abundant number, since it is smaller than the sum of its proper divisors (87876672).

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

49382688 is a wasteful number, since it uses less digits than its factorization.

49382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30289 (or 30281 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 49382688 is about 7027.2816935142. The cubic root of 49382688 is about 366.8807359700.

It can be divided in two parts, 4938 and 2688, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 49382688 in words is "forty-nine million, three hundred eighty-two thousand, six hundred eighty-eight".