45276048 has 60 divisors (see below), whose sum is σ = 127356060. Its totient is φ = 15015168.

The previous prime is 45276043. The next prime is 45276067. The reversal of 45276048 is 84067254.

45276048 is a `hidden beast` number, since 45 + 2 + 7 + 604 + 8 = 666.

45276048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 1557504 = 6612^2 + 1248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45276041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32290 + ... + 33662.

It is an arithmetic number, because the mean of its divisors is an integer number (2122601).

Almost surely, 2^45276048 is an apocalyptic number.

45276048 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 45276048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63678030).

45276048 is an abundant number, since it is smaller than the sum of its proper divisors (82080012).

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

45276048 is a wasteful number, since it uses less digits than its factorization.

45276048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45276048 is about 6728.7478775772. The cubic root of 45276048 is about 356.4151618290.

The spelling of 45276048 in words is "forty-five million, two hundred seventy-six thousand, forty-eight".