48893040 has 240 divisors, whose sum is σ = 191505600. Its totient is φ = 10948608.

The previous prime is 48893029. The next prime is 48893051. The reversal of 48893040 is 4039884.

It is an interprime number because it is at equal distance from previous prime (48893029) and next prime (48893051).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 48892986 and 48893004.

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 47 ways as a sum of consecutive naturals, for example, 448506 + ... + 448614.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 2^48893040 is an apocalyptic number.

48893040 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 48893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95752800).

48893040 is an abundant number, since it is smaller than the sum of its proper divisors (142612560).

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

48893040 is a wasteful number, since it uses less digits than its factorization.

48893040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48893040 is about 6992.3558261862. The cubic root of 48893040 is about 365.6641189790.

It can be divided in two parts, 488 and 93040, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 48893040 in words is "forty-eight million, eight hundred ninety-three thousand, forty".