49934880 has 120 divisors (see below), whose sum is σ = 176274252. Its totient is φ = 13312512.

The previous prime is 49934879. The next prime is 49934881. The reversal of 49934880 is 8843994.

It is a happy number.

49934880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49934879) and next prime (49934881).

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 3640464 = 6804^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×49934880² = 4986984481228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49934881) 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 19 ways as a sum of consecutive naturals, for example, 11034 + ... + 14886.

Almost surely, 2^49934880 is an apocalyptic number.

49934880 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 49934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88137126).

49934880 is an abundant number, since it is smaller than the sum of its proper divisors (126339372).

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

49934880 is a wasteful number, since it uses less digits than its factorization.

49934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 49934880 is about 7066.4616322457. The cubic root of 49934880 is about 368.2431442927.

The spelling of 49934880 in words is "forty-nine million, nine hundred thirty-four thousand, eight hundred eighty".