49632345 has 120 divisors (see below), whose sum is σ = 107758728. Its totient is φ = 21772800.

The previous prime is 49632343. The next prime is 49632361. The reversal of 49632345 is 54323694.

It can be written as a sum of positive squares in 4 ways, for example, as 3337929 + 46294416 = 1827^2 + 6804^2 .

It is not a de Polignac number, because 49632345 - 2¹ = 49632343 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49632343) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 813615 + ... + 813675.

Almost surely, 2^49632345 is an apocalyptic number.

49632345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49632345 is an abundant number, since it is smaller than the sum of its proper divisors (58126383).

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

49632345 is a wasteful number, since it uses less digits than its factorization.

49632345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 49632345 is about 7045.0227111060. The cubic root of 49632345 is about 367.4979591723.

The spelling of 49632345 in words is "forty-nine million, six hundred thirty-two thousand, three hundred forty-five".