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84584809 = 1725412
BaseRepresentation
bin1010000101010…
…10100101101001
312220011100112201
411002222211221
5133123203214
612220540201
72044646641
oct502524551
9186140481
1084584809
1143822901
12243b1661
13146a71aa
14b33b521
15765c274
hex50aa969

84584809 has 9 divisors (see below), whose sum is σ = 90019461. Its totient is φ = 79462080.

The previous prime is 84584803. The next prime is 84584821. The reversal of 84584809 is 90848548.

The square root of 84584809 is 9197.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3080025 + 81504784 = 1755^2 + 9028^2 .

It is not a de Polignac number, because 84584809 - 213 = 84576617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84584803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156079 + ... + 156619.

Almost surely, 284584809 is an apocalyptic number.

84584809 is the 9197-th square number.

84584809 is the 4599-th centered octagonal number.

It is an amenable number.

84584809 is a deficient number, since it is larger than the sum of its proper divisors (5434652).

84584809 is an frugal number, since it uses more digits than its factorization.

84584809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The cubic root of 84584809 is about 438.9659066201.

The spelling of 84584809 in words is "eighty-four million, five hundred eighty-four thousand, eight hundred nine".

Divisors: 1 17 289 541 9197 156349 292681 4975577 84584809