49681600 has 42 divisors (see below), whose sum is σ = 122251724. Its totient is φ = 19872000.

The previous prime is 49681589. The next prime is 49681603. The reversal of 49681600 is 618694.

It is a super-2 number, since 2×49681600² = 4936522757120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49681603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13926 + ... + 17125.

Almost surely, 2^49681600 is an apocalyptic number.

49681600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49681600 is an abundant number, since it is smaller than the sum of its proper divisors (72570124).

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

49681600 is a wasteful number, since it uses less digits than its factorization.

49681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31073 (or 31058 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 49681600 is about 7048.5175746394. The cubic root of 49681600 is about 367.6194869613.

The spelling of 49681600 in words is "forty-nine million, six hundred eighty-one thousand, six hundred".