49116132 has 144 divisors (see below), whose sum is σ = 145541760. Its totient is φ = 14455584.

The previous prime is 49116127. The next prime is 49116139. The reversal of 49116132 is 23161194.

49116132 is a `hidden beast` number, since 49 + 1 + 1 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (1296) is a multiple of the sum of its prime factors (81).

It is a junction number, because it is equal to n+sod(n) for n = 49116096 and 49116105.

It is not an unprimeable number, because it can be changed into a prime (49116139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135473 + ... + 2135495.

Almost surely, 2^49116132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49116132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72770880).

49116132 is an abundant number, since it is smaller than the sum of its proper divisors (96425628).

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

49116132 is a wasteful number, since it uses less digits than its factorization.

49116132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 49116132 is about 7008.2902337161. The cubic root of 49116132 is about 366.2194330471.

The spelling of 49116132 in words is "forty-nine million, one hundred sixteen thousand, one hundred thirty-two".