49557312 has 224 divisors, whose sum is σ = 177027840. Its totient is φ = 13271040.

The previous prime is 49557311. The next prime is 49557323. The reversal of 49557312 is 21375594.

It is a tau number, because it is divible by the number of its divisors (224).

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

Its product of digits (37800) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49557311) 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, 205512 + ... + 205752.

Almost surely, 2^49557312 is an apocalyptic number.

49557312 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 49557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

49557312 is an abundant number, since it is smaller than the sum of its proper divisors (127470528).

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

49557312 is a wasteful number, since it uses less digits than its factorization.

49557312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 49557312 is about 7039.6954479580. The cubic root of 49557312 is about 367.3126742099.

The spelling of 49557312 in words is "forty-nine million, five hundred fifty-seven thousand, three hundred twelve".