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8088084 = 2232224669
BaseRepresentation
bin11110110110101000010100
3120012220202200
4132312220110
54032304314
6445204500
7125514264
oct36665024
916186680
108088084
114624774
122860730
1318a2564
1411077a4
15a9b709
hex7b6a14

8088084 has 18 divisors (see below), whose sum is σ = 20444970. Its totient is φ = 2696016.

The previous prime is 8088083. The next prime is 8088109. The reversal of 8088084 is 4808808.

It can be written as a sum of positive squares in only one way, i.e., 5616900 + 2471184 = 2370^2 + 1572^2 .

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: 224669 = 8088084 / (8 + 0 + 8 + 8 + 0 + 8 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8088083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112299 + ... + 112370.

Almost surely, 28088084 is an apocalyptic number.

It is an amenable number.

8088084 is an abundant number, since it is smaller than the sum of its proper divisors (12356886).

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

8088084 is a wasteful number, since it uses less digits than its factorization.

8088084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224679 (or 224674 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8088084 is about 2843.9556958574. The cubic root of 8088084 is about 200.7313556679.

The spelling of 8088084 in words is "eight million, eighty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 224669 449338 674007 898676 1348014 2022021 2696028 4044042 8088084