49679100 has 162 divisors, whose sum is σ = 166281024. Its totient is φ = 12403200.

The previous prime is 49679089. The next prime is 49679107. The reversal of 49679100 is 197694.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49679107) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 260005 + ... + 260195.

Almost surely, 2^49679100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49679100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83140512).

49679100 is an abundant number, since it is smaller than the sum of its proper divisors (116601924).

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

49679100 is a wasteful number, since it uses less digits than its factorization.

49679100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 49679100 is about 7048.3402301535. The cubic root of 49679100 is about 367.6133205997.

The spelling of 49679100 in words is "forty-nine million, six hundred seventy-nine thousand, one hundred".