49133952 has 160 divisors (see below), whose sum is σ = 167357520. Its totient is φ = 14017536.

The previous prime is 49133951. The next prime is 49133969. The reversal of 49133952 is 25933194.

It is a happy number.

49133952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49133951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72238 + ... + 72914.

Almost surely, 2^49133952 is an apocalyptic number.

49133952 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 49133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83678760).

49133952 is an abundant number, since it is smaller than the sum of its proper divisors (118223568).

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

49133952 is an equidigital number, since it uses as much as digits as its factorization.

49133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 49133952 is about 7009.5614698781. The cubic root of 49133952 is about 366.2637174872.

It can be divided in two parts, 491 and 33952, that added together give a palindrome (34443).

The spelling of 49133952 in words is "forty-nine million, one hundred thirty-three thousand, nine hundred fifty-two".