48642552 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 13613184.

The previous prime is 48642533. The next prime is 48642553. The reversal of 48642552 is 25524684.

It is a happy number.

48642552 is a `hidden beast` number, since 4 + 8 + 642 + 5 + 5 + 2 = 666.

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 (48642553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79833 + ... + 80439.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^48642552 is an apocalyptic number.

48642552 is a gapful number since it is divisible by the number (42) 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 48642552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

48642552 is an abundant number, since it is smaller than the sum of its proper divisors (108951048).

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

48642552 is a wasteful number, since it uses less digits than its factorization.

48642552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 48642552 is about 6974.4212663131. The cubic root of 48642552 is about 365.0385947805.

It can be divided in two parts, 48642 and 552, that added together give a palindrome (49194).

The spelling of 48642552 in words is "forty-eight million, six hundred forty-two thousand, five hundred fifty-two".