49387968 has 140 divisors (see below), whose sum is σ = 167438832. Its totient is φ = 14100480.

The previous prime is 49387967. The next prime is 49387999. The reversal of 49387968 is 86978394.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49387963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35608 + ... + 36968.

Almost surely, 2^49387968 is an apocalyptic number.

49387968 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 49387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83719416).

49387968 is an abundant number, since it is smaller than the sum of its proper divisors (118050864).

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

49387968 is a wasteful number, since it uses less digits than its factorization.

49387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1373 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 49387968 is about 7027.6573621656. The cubic root of 49387968 is about 366.8938111408.

The spelling of 49387968 in words is "forty-nine million, three hundred eighty-seven thousand, nine hundred sixty-eight".