49435776 has 96 divisors (see below), whose sum is σ = 153245820. Its totient is φ = 15206400.

The previous prime is 49435753. The next prime is 49435787. The reversal of 49435776 is 67753494.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 5875776 = 6600^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13326 + ... + 16626.

Almost surely, 2^49435776 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 49435776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76622910).

49435776 is an abundant number, since it is smaller than the sum of its proper divisors (103810044).

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

49435776 is a wasteful number, since it uses less digits than its factorization.

49435776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3319 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 49435776 is about 7031.0579573774. The cubic root of 49435776 is about 367.0121584718.

The spelling of 49435776 in words is "forty-nine million, four hundred thirty-five thousand, seven hundred seventy-six".