49279104 has 240 divisors, whose sum is σ = 172356030. Its totient is φ = 13934592.

The previous prime is 49279093. The next prime is 49279117. The reversal of 49279104 is 40197294.

49279104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 6350400 = 6552^2 + 2520^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507984 + ... + 508080.

Almost surely, 2^49279104 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 49279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86178015).

49279104 is an abundant number, since it is smaller than the sum of its proper divisors (123076926).

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

49279104 is an equidigital number, since it uses as much as digits as its factorization.

49279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 49279104 is about 7019.9076917008. The cubic root of 49279104 is about 366.6240361824.

The spelling of 49279104 in words is "forty-nine million, two hundred seventy-nine thousand, one hundred four".