49967232 has 128 divisors (see below), whose sum is σ = 157161600. Its totient is φ = 13762560.

The previous prime is 49967231. The next prime is 49967249. The reversal of 49967232 is 23276994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (49967231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77632 + ... + 78272.

It is an arithmetic number, because the mean of its divisors is an integer number (1227825).

Almost surely, 2^49967232 is an apocalyptic number.

49967232 is a gapful number since it is divisible by the number (42) 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 49967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78580800).

49967232 is an abundant number, since it is smaller than the sum of its proper divisors (107194368).

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

49967232 is a wasteful number, since it uses less digits than its factorization.

49967232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 49967232 is about 7068.7503846154. The cubic root of 49967232 is about 368.3226533807.

The spelling of 49967232 in words is "forty-nine million, nine hundred sixty-seven thousand, two hundred thirty-two".