49429968 has 80 divisors (see below), whose sum is σ = 147181056. Its totient is φ = 14002560.

The previous prime is 49429951. The next prime is 49429997. The reversal of 49429968 is 86992494.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49429968.

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, 43455 + ... + 44577.

Almost surely, 2^49429968 is an apocalyptic number.

49429968 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 49429968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73590528).

49429968 is an abundant number, since it is smaller than the sum of its proper divisors (97751088).

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

49429968 is a wasteful number, since it uses less digits than its factorization.

49429968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 49429968 is about 7030.6449206314. The cubic root of 49429968 is about 366.9977850074.

The spelling of 49429968 in words is "forty-nine million, four hundred twenty-nine thousand, nine hundred sixty-eight".