45834048 has 84 divisors (see below), whose sum is σ = 141503908. Its totient is φ = 14100480.

The previous prime is 45834037. The next prime is 45834049. The reversal of 45834048 is 84043854.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 39841344 = 2448^2 + 6312^2 .

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 (45834049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4428 + ... + 10548.

Almost surely, 2^45834048 is an apocalyptic number.

45834048 is a gapful number since it is divisible by the number (48) 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 45834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70751954).

45834048 is an abundant number, since it is smaller than the sum of its proper divisors (95669860).

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

45834048 is a wasteful number, since it uses less digits than its factorization.

45834048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45834048 is about 6770.0847852889. The cubic root of 45834048 is about 357.8733882245.

The spelling of 45834048 in words is "forty-five million, eight hundred thirty-four thousand, forty-eight".