48342624 has 48 divisors (see below), whose sum is σ = 138438720. Its totient is φ = 14648960.

The previous prime is 48342617. The next prime is 48342629. The reversal of 48342624 is 42624384.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48342629) 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 7 ways as a sum of consecutive naturals, for example, 21834 + ... + 23945.

It is an arithmetic number, because the mean of its divisors is an integer number (2884140).

Almost surely, 2^48342624 is an apocalyptic number.

48342624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48342624 is an abundant number, since it is smaller than the sum of its proper divisors (90096096).

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

48342624 is a wasteful number, since it uses less digits than its factorization.

48342624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45803 (or 45795 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 48342624 is about 6952.8860194886. The cubic root of 48342624 is about 364.2867763796.

The spelling of 48342624 in words is "forty-eight million, three hundred forty-two thousand, six hundred twenty-four".