49130080 has 96 divisors (see below), whose sum is σ = 122611104. Its totient is φ = 18579456.

The previous prime is 49130069. The next prime is 49130113. The reversal of 49130080 is 8003194.

49130080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 254464 + ... + 254656.

It is an arithmetic number, because the mean of its divisors is an integer number (1277199).

Almost surely, 2^49130080 is an apocalyptic number.

49130080 is a gapful number since it is divisible by the number (40) 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 49130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61305552).

49130080 is an abundant number, since it is smaller than the sum of its proper divisors (73481024).

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

49130080 is a wasteful number, since it uses less digits than its factorization.

49130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 49130080 is about 7009.2852702683. The cubic root of 49130080 is about 366.2540960997.

It can be divided in two parts, 491300 and 80, that multiplied together give a cube (39304000 = 340³).

The spelling of 49130080 in words is "forty-nine million, one hundred thirty thousand, eighty".