49257936 has 240 divisors, whose sum is σ = 178113600. Its totient is φ = 12918528.

The previous prime is 49257907. The next prime is 49257947. The reversal of 49257936 is 63975294.

It is a happy number.

49257936 is a `hidden beast` number, since 49 + 2 + 579 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49257891 and 49257900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275095 + ... + 275273.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^49257936 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 49257936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

49257936 is an abundant number, since it is smaller than the sum of its proper divisors (128855664).

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

49257936 is a wasteful number, since it uses less digits than its factorization.

49257936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 49257936 is about 7018.3998176222. The cubic root of 49257936 is about 366.5715338136.

The spelling of 49257936 in words is "forty-nine million, two hundred fifty-seven thousand, nine hundred thirty-six".