49195008 has 144 divisors (see below), whose sum is σ = 151400340. Its totient is φ = 15335424.

The previous prime is 49194997. The next prime is 49195021. The reversal of 49195008 is 80059194.

It can be written as a sum of positive squares in 2 ways, for example, as 49112064 + 82944 = 7008^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313266 + ... + 313422.

Almost surely, 2^49195008 is an apocalyptic number.

49195008 is a gapful number since it is divisible by the number (48) 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 49195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75700170).

49195008 is an abundant number, since it is smaller than the sum of its proper divisors (102205332).

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

49195008 is a wasteful number, since it uses less digits than its factorization.

49195008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 49195008 is about 7013.9153117214. The cubic root of 49195008 is about 366.4153664665.

The spelling of 49195008 in words is "forty-nine million, one hundred ninety-five thousand, eight".