49082880 has 320 divisors, whose sum is σ = 197987328. Its totient is φ = 10076160.

The previous prime is 49082879. The next prime is 49082911. The reversal of 49082880 is 8828094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591319 + ... + 591401.

Almost surely, 2^49082880 is an apocalyptic number.

49082880 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 49082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

49082880 is an abundant number, since it is smaller than the sum of its proper divisors (148904448).

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

49082880 is a wasteful number, since it uses less digits than its factorization.

49082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 49082880 is about 7005.9174988006. The cubic root of 49082880 is about 366.1367699300.

The spelling of 49082880 in words is "forty-nine million, eighty-two thousand, eight hundred eighty".