49198752 has 192 divisors, whose sum is σ = 157046400. Its totient is φ = 15116544.

The previous prime is 49198741. The next prime is 49198763. The reversal of 49198752 is 25789194.

49198752 is a `hidden beast` number, since 491 + 98 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (49198741) and next prime (49198763).

It is a junction number, because it is equal to n+sod(n) for n = 49198698 and 49198707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329678 + ... + 1329714.

It is an arithmetic number, because the mean of its divisors is an integer number (817950).

It is a vampire number, since it can be written as 5472 ⋅ 8991 (with its own digits).

Almost surely, 2^49198752 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 49198752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78523200).

49198752 is an abundant number, since it is smaller than the sum of its proper divisors (107847648).

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

49198752 is an equidigital number, since it uses as much as digits as its factorization.

49198752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 49198752 is about 7014.1822046480. The cubic root of 49198752 is about 366.4246616124.

The spelling of 49198752 in words is "forty-nine million, one hundred ninety-eight thousand, seven hundred fifty-two".