48540744 has 192 divisors, whose sum is σ = 163612800. Its totient is φ = 12690432.

The previous prime is 48540743. The next prime is 48540799. The reversal of 48540744 is 44704584.

48540744 is a `hidden beast` number, since 48 + 540 + 74 + 4 = 666.

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 = 48540699 and 48540708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48540743) 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 47 ways as a sum of consecutive naturals, for example, 354244 + ... + 354380.

It is an arithmetic number, because the mean of its divisors is an integer number (852150).

Almost surely, 2^48540744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48540744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81806400).

48540744 is an abundant number, since it is smaller than the sum of its proper divisors (115072056).

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

48540744 is a wasteful number, since it uses less digits than its factorization.

48540744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 48540744 is about 6967.1187732089. The cubic root of 48540744 is about 364.7837437931.

It can be divided in two parts, 48540 and 744, that added together give a square (49284 = 222²).

The spelling of 48540744 in words is "forty-eight million, five hundred forty thousand, seven hundred forty-four".