48034944 has 160 divisors (see below), whose sum is σ = 147733740. Its totient is φ = 15482880.

The previous prime is 48034939. The next prime is 48034951. The reversal of 48034944 is 44943084.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 15681600 = 5688^2 + 3960^2 .

It is a super-3 number, since 3×48034944³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 48034899 and 48034908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 425032 + ... + 425144.

Almost surely, 2^48034944 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 48034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73866870).

48034944 is an abundant number, since it is smaller than the sum of its proper divisors (99698796).

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

48034944 is a wasteful number, since it uses less digits than its factorization.

48034944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48034944 is about 6930.7246374387. The cubic root of 48034944 is about 363.5122880935.

The spelling of 48034944 in words is "forty-eight million, thirty-four thousand, nine hundred forty-four".