49787136 has 225 divisors, whose sum is σ = 173188631. Its totient is φ = 14224896.

The previous prime is 49787131. The next prime is 49787183. The reversal of 49787136 is 63178794.

The square root of 49787136 is 7056.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a super-2 number, since 2×49787136² = 4957517822164992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (254016) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 49787091 and 49787100.

It is not an unprimeable number, because it can be changed into a prime (49787131) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 7112445 + ... + 7112451.

Almost surely, 2^49787136 is an apocalyptic number.

49787136 is the 7056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49787136

49787136 is an abundant number, since it is smaller than the sum of its proper divisors (123401495).

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

49787136 is an frugal number, since it uses more digits than its factorization.

49787136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 12 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The cubic root of 49787136 is about 367.8796077506.

Multiplying 49787136 by its product of digits (254016), we get a square (12646729138176 = 3556224²).

49787136 divided by its product of digits (254016) gives a square (196 = 14²).

The spelling of 49787136 in words is "forty-nine million, seven hundred eighty-seven thousand, one hundred thirty-six".