49137920 has 72 divisors (see below), whose sum is σ = 126797496. Its totient is φ = 18137088.

The previous prime is 49137917. The next prime is 49137923. The reversal of 49137920 is 2973194.

It is an interprime number because it is at equal distance from previous prime (49137917) and next prime (49137923).

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 44943616 = 2048^2 + 6704^2 .

It is not an unprimeable number, because it can be changed into a prime (49137923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15164 + ... + 18116.

Almost surely, 2^49137920 is an apocalyptic number.

49137920 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 49137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63398748).

49137920 is an abundant number, since it is smaller than the sum of its proper divisors (77659576).

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

49137920 is a wasteful number, since it uses less digits than its factorization.

49137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 49137920 is about 7009.8445061214. The cubic root of 49137920 is about 366.2735768970.

The spelling of 49137920 in words is "forty-nine million, one hundred thirty-seven thousand, nine hundred twenty".