49978100 has 18 divisors (see below), whose sum is σ = 108452694. Its totient is φ = 19991200.

The previous prime is 49978087. The next prime is 49978109. The reversal of 49978100 is 187994.

It can be written as a sum of positive squares in 3 ways, for example, as 3247204 + 46730896 = 1802^2 + 6836^2 .

It is a super-2 number, since 2×49978100² = 4995620959220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49978109) 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, 249791 + ... + 249990.

Almost surely, 2^49978100 is an apocalyptic number.

It is an amenable number.

49978100 is an abundant number, since it is smaller than the sum of its proper divisors (58474594).

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

49978100 is a wasteful number, since it uses less digits than its factorization.

49978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499795 (or 499788 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 49978100 is about 7069.5190784098. The cubic root of 49978100 is about 368.3493551494.

The spelling of 49978100 in words is "forty-nine million, nine hundred seventy-eight thousand, one hundred".