49939680 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 11218944.

The previous prime is 49939661. The next prime is 49939699. The reversal of 49939680 is 8693994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49939661) and next prime (49939699).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 298957 + ... + 299123.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^49939680 is an apocalyptic number.

49939680 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 49939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

49939680 is an abundant number, since it is smaller than the sum of its proper divisors (132951840).

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

49939680 is a wasteful number, since it uses less digits than its factorization.

49939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 49939680 is about 7066.8012565800. The cubic root of 49939680 is about 368.2549430625.

The spelling of 49939680 in words is "forty-nine million, nine hundred thirty-nine thousand, six hundred eighty".