49917168 has 160 divisors (see below), whose sum is σ = 173560320. Its totient is φ = 13409280.

The previous prime is 49917167. The next prime is 49917173. The reversal of 49917168 is 86171994.

It is a happy number.

It is a super-2 number, since 2×49917168² = 4983447322280448, which contains 22 as substring.

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 (49917167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50923 + ... + 51893.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^49917168 is an apocalyptic number.

49917168 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 49917168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780160).

49917168 is an abundant number, since it is smaller than the sum of its proper divisors (123643152).

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

49917168 is a wasteful number, since it uses less digits than its factorization.

49917168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 49917168 is about 7065.2082771848. The cubic root of 49917168 is about 368.1996002884.

The spelling of 49917168 in words is "forty-nine million, nine hundred seventeen thousand, one hundred sixty-eight".