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4445087328 = 2533111134139
BaseRepresentation
bin1000010001111001…
…01010011001100000
3102110210012211111000
410020330222121200
533100420243303
62013025352000
7215103422163
oct41074523140
912423184430
104445087328
1119811549a0
12a40798600
1355abbb2b6
143024d3ada
151b0392da3
hex108f2a660

4445087328 has 192 divisors, whose sum is σ = 14272070400. Its totient is φ = 1334753280.

The previous prime is 4445087323. The next prime is 4445087347. The reversal of 4445087328 is 8237805444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4445087323) 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 31 ways as a sum of consecutive naturals, for example, 1071883 + ... + 1076021.

It is an arithmetic number, because the mean of its divisors is an integer number (74333700).

Almost surely, 24445087328 is an apocalyptic number.

4445087328 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 4445087328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136035200).

4445087328 is an abundant number, since it is smaller than the sum of its proper divisors (9826983072).

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

4445087328 is a wasteful number, since it uses less digits than its factorization.

4445087328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 4445087328 is about 66671.4881189853. The cubic root of 4445087328 is about 1644.2206534243.

The spelling of 4445087328 in words is "four billion, four hundred forty-five million, eighty-seven thousand, three hundred twenty-eight".