49879872 has 168 divisors, whose sum is σ = 166420800. Its totient is φ = 13989888.

The previous prime is 49879867. The next prime is 49879877. The reversal of 49879872 is 27897894.

49879872 is a `hidden beast` number, since 498 + 79 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (49879867) and next prime (49879877).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49879877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358779 + ... + 358917.

It is an arithmetic number, because the mean of its divisors is an integer number (990600).

Almost surely, 2^49879872 is an apocalyptic number.

49879872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83210400).

49879872 is an abundant number, since it is smaller than the sum of its proper divisors (116540928).

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

49879872 is a wasteful number, since it uses less digits than its factorization.

49879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 49879872 is about 7062.5683713505. The cubic root of 49879872 is about 368.1078763763.

The spelling of 49879872 in words is "forty-nine million, eight hundred seventy-nine thousand, eight hundred seventy-two".