48249840 has 80 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 12757248.

The previous prime is 48249833. The next prime is 48249899. The reversal of 48249840 is 4894284.

48249840 = T₄₈₅ + T₄₈₆ + ... + T₇₃₈.

48249840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 29689 + ... + 31271.

Almost surely, 2^48249840 is an apocalyptic number.

48249840 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 48249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

48249840 is an abundant number, since it is smaller than the sum of its proper divisors (102597648).

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

48249840 is a wasteful number, since it uses less digits than its factorization.

48249840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 48249840 is about 6946.2104776633. The cubic root of 48249840 is about 364.0535685763.

The spelling of 48249840 in words is "forty-eight million, two hundred forty-nine thousand, eight hundred forty".