49832640 has 336 divisors, whose sum is σ = 203033376. Its totient is φ = 11151360.

The previous prime is 49832623. The next prime is 49832677. The reversal of 49832640 is 4623894.

49832640 = T₇₅ + T₇₆ + ... + T₆₆₈.

It is a happy number.

49832640 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 2 + 640 = 666.

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 = 49832595 and 49832604.

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 47 ways as a sum of consecutive naturals, for example, 3833274 + ... + 3833286.

It is an arithmetic number, because the mean of its divisors is an integer number (604266).

Almost surely, 2^49832640 is an apocalyptic number.

49832640 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 49832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101516688).

49832640 is an abundant number, since it is smaller than the sum of its proper divisors (153200736).

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

49832640 is a wasteful number, since it uses less digits than its factorization.

49832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49832640 is about 7059.2237533599. The cubic root of 49832640 is about 367.9916507242.

The spelling of 49832640 in words is "forty-nine million, eight hundred thirty-two thousand, six hundred forty".