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83684509 = 5314910597
BaseRepresentation
bin1001111110011…
…10110010011101
312211110121120021
410333032302131
5132410401014
612145352141
72034210106
oct477166235
9184417507
1083684509
1143268457
1224038651
131445047c
14b1853ad
157530624
hex4fcec9d

83684509 has 8 divisors (see below), whose sum is σ = 85843800. Its totient is φ = 81546816.

The previous prime is 83684507. The next prime is 83684539. The reversal of 83684509 is 90548638.

It can be written as a sum of positive squares in 4 ways, for example, as 16900 + 83667609 = 130^2 + 9147^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83684509 - 21 = 83684507 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83684507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2599 + ... + 13195.

It is an arithmetic number, because the mean of its divisors is an integer number (10730475).

Almost surely, 283684509 is an apocalyptic number.

It is an amenable number.

83684509 is a deficient number, since it is larger than the sum of its proper divisors (2159291).

83684509 is a wasteful number, since it uses less digits than its factorization.

83684509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799.

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 83684509 is about 9147.9237535082. The cubic root of 83684509 is about 437.4029329145.

The spelling of 83684509 in words is "eighty-three million, six hundred eighty-four thousand, five hundred nine".

Divisors: 1 53 149 7897 10597 561641 1578953 83684509