49177152 has 112 divisors (see below), whose sum is σ = 146304000. Its totient is φ = 16197120.

The previous prime is 49177123. The next prime is 49177159. The reversal of 49177152 is 25177194.

It is a happy number.

It is a super-2 number, since 2×49177152² = 4836784557662208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49177159) 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, 257377 + ... + 257567.

Almost surely, 2^49177152 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 49177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152000).

49177152 is an abundant number, since it is smaller than the sum of its proper divisors (97126848).

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

49177152 is a wasteful number, since it uses less digits than its factorization.

49177152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 49177152 is about 7012.6422980215. The cubic root of 49177152 is about 366.3710292814.

The spelling of 49177152 in words is "forty-nine million, one hundred seventy-seven thousand, one hundred fifty-two".