49076640 has 144 divisors (see below), whose sum is σ = 169297128. Its totient is φ = 12945408.

The previous prime is 49076633. The next prime is 49076663. The reversal of 49076640 is 4667094.

49076640 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 6 + 640 = 666.

49076640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 467856 = 6972^2 + 684^2 .

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 a junction number, because it is equal to n+sod(n) for n = 49076595 and 49076604.

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 23 ways as a sum of consecutive naturals, for example, 249022 + ... + 249218.

Almost surely, 2^49076640 is an apocalyptic number.

49076640 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 49076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84648564).

49076640 is an abundant number, since it is smaller than the sum of its proper divisors (120220488).

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

49076640 is a wasteful number, since it uses less digits than its factorization.

49076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 49076640 is about 7005.4721468292. The cubic root of 49076640 is about 366.1212533842.

The spelling of 49076640 in words is "forty-nine million, seventy-six thousand, six hundred forty".