49945968 has 60 divisors (see below), whose sum is σ = 140766288. Its totient is φ = 16531200.

The previous prime is 49945963. The next prime is 49945969. The reversal of 49945968 is 86954994.

49945968 is a `hidden beast` number, since 49 + 9 + 4 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49945963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20596 + ... + 22892.

Almost surely, 2^49945968 is an apocalyptic number.

49945968 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 49945968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383144).

49945968 is an abundant number, since it is smaller than the sum of its proper divisors (90820320).

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

49945968 is a wasteful number, since it uses less digits than its factorization.

49945968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2453 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 49945968 is about 7067.2461397634. The cubic root of 49945968 is about 368.2703983070.

The spelling of 49945968 in words is "forty-nine million, nine hundred forty-five thousand, nine hundred sixty-eight".