49138560 has 192 divisors, whose sum is σ = 179010000. Its totient is φ = 12386304.

The previous prime is 49138559. The next prime is 49138567. The reversal of 49138560 is 6583194.

49138560 is a `hidden beast` number, since 4 + 91 + 3 + 8 + 560 = 666.

49138560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49138567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 109216 + ... + 109664.

Almost surely, 2^49138560 is an apocalyptic number.

49138560 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 49138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89505000).

49138560 is an abundant number, since it is smaller than the sum of its proper divisors (129871440).

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

49138560 is a wasteful number, since it uses less digits than its factorization.

49138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 49138560 is about 7009.8901560581. The cubic root of 49138560 is about 366.2751670747.

The spelling of 49138560 in words is "forty-nine million, one hundred thirty-eight thousand, five hundred sixty".