48142584 has 96 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 13513536.

The previous prime is 48142583. The next prime is 48142609. The reversal of 48142584 is 48524184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48142583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28927 + ... + 30545.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 2^48142584 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 48142584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

48142584 is an abundant number, since it is smaller than the sum of its proper divisors (103489416).

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

48142584 is a wasteful number, since it uses less digits than its factorization.

48142584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1690 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 48142584 is about 6938.4857137563. The cubic root of 48142584 is about 363.7836132894.

The spelling of 48142584 in words is "forty-eight million, one hundred forty-two thousand, five hundred eighty-four".