49523968 has 72 divisors (see below), whose sum is σ = 111259008. Its totient is φ = 21829632.

The previous prime is 49523963. The next prime is 49523977. The reversal of 49523968 is 86932594.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49523963) 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, 76221 + ... + 76867.

It is an arithmetic number, because the mean of its divisors is an integer number (1545264).

Almost surely, 2^49523968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55629504).

49523968 is an abundant number, since it is smaller than the sum of its proper divisors (61735040).

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

49523968 is a wasteful number, since it uses less digits than its factorization.

49523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 49523968 is about 7037.3267651858. The cubic root of 49523968 is about 367.2302751906.

The spelling of 49523968 in words is "forty-nine million, five hundred twenty-three thousand, nine hundred sixty-eight".