48419952 has 80 divisors (see below), whose sum is σ = 145704960. Its totient is φ = 13568256.

The previous prime is 48419933. The next prime is 48419971. The reversal of 48419952 is 25991484.

It is an interprime number because it is at equal distance from previous prime (48419933) and next prime (48419971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16449 + ... + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (1821312).

Almost surely, 2^48419952 is an apocalyptic number.

48419952 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 48419952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72852480).

48419952 is an abundant number, since it is smaller than the sum of its proper divisors (97285008).

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

48419952 is a wasteful number, since it uses less digits than its factorization.

48419952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2784 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 48419952 is about 6958.4446538002. Note that the first 3 decimals coincide. The cubic root of 48419952 is about 364.4809084519.

The spelling of 48419952 in words is "forty-eight million, four hundred nineteen thousand, nine hundred fifty-two".