49888100 has 18 divisors (see below), whose sum is σ = 108257394. Its totient is φ = 19955200.

The previous prime is 49888093. The next prime is 49888109. The reversal of 49888100 is 188894.

It can be written as a sum of positive squares in 3 ways, for example, as 6512704 + 43375396 = 2552^2 + 6586^2 .

It is a super-2 number, since 2×49888100² = 4977645043220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49888109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249341 + ... + 249540.

Almost surely, 2^49888100 is an apocalyptic number.

It is an amenable number.

49888100 is an abundant number, since it is smaller than the sum of its proper divisors (58369294).

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

49888100 is a wasteful number, since it uses less digits than its factorization.

49888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498895 (or 498888 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 49888100 is about 7063.1508549655. The cubic root of 49888100 is about 368.1281158367.

The spelling of 49888100 in words is "forty-nine million, eight hundred eighty-eight thousand, one hundred".