49981600 has 36 divisors (see below), whose sum is σ = 122019534. Its totient is φ = 19992320.

The previous prime is 49981577. The next prime is 49981637. The reversal of 49981600 is 618994.

It can be written as a sum of positive squares in 3 ways, for example, as 28858384 + 21123216 = 5372^2 + 4596^2 .

It is a super-3 number, since 3×49981600³ (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 49981600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30439 + ... + 32038.

Almost surely, 2^49981600 is an apocalyptic number.

49981600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49981600 is an abundant number, since it is smaller than the sum of its proper divisors (72037934).

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

49981600 is a wasteful number, since it uses less digits than its factorization.

49981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62497 (or 62484 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 49981600 is about 7069.7666156670. The cubic root of 49981600 is about 368.3579535331.

The spelling of 49981600 in words is "forty-nine million, nine hundred eighty-one thousand, six hundred".