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8084040444 = 2232224556679
BaseRepresentation
bin1111000011101100…
…01010101011111100
3202212101112210201100
413201312022223330
5113024003243234
63414101013100
7404221132014
oct74166125374
922771483640
108084040444
113479259267
1216973b4190
139baa895ac
14569902c44
15324a9b399
hex1e1d8aafc

8084040444 has 18 divisors (see below), whose sum is σ = 20434657880. Its totient is φ = 2694680136.

The previous prime is 8084040439. The next prime is 8084040457. The reversal of 8084040444 is 4440404808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 224556679 = 8084040444 / (8 + 0 + 8 + 4 + 0 + 4 + 0 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 8084040399 and 8084040408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112278304 + ... + 112278375.

Almost surely, 28084040444 is an apocalyptic number.

It is an amenable number.

8084040444 is an abundant number, since it is smaller than the sum of its proper divisors (12350617436).

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

8084040444 is a wasteful number, since it uses less digits than its factorization.

8084040444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224556689 (or 224556684 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8084040444 is about 89911.2920828079. The cubic root of 8084040444 is about 2006.9789888638.

The spelling of 8084040444 in words is "eight billion, eighty-four million, forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 224556679 449113358 673670037 898226716 1347340074 2021010111 2694680148 4042020222 8084040444