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8416289 = 72171761
BaseRepresentation
bin100000000110…
…110000100001
3120211120222102
4200012300201
54123310124
6500220145
7131352200
oct40066041
916746872
108416289
114829312
12299a655
131988a6b
141191237
15b13aae
hex806c21

8416289 has 6 divisors (see below), whose sum is σ = 9790434. Its totient is φ = 7213920.

The previous prime is 8416273. The next prime is 8416301. The reversal of 8416289 is 9826148.

It can be written as a sum of positive squares in only one way, i.e., 5499025 + 2917264 = 2345^2 + 1708^2 .

It is not a de Polignac number, because 8416289 - 24 = 8416273 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8416249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85832 + ... + 85929.

It is an arithmetic number, because the mean of its divisors is an integer number (1631739).

Almost surely, 28416289 is an apocalyptic number.

It is an amenable number.

8416289 is a deficient number, since it is larger than the sum of its proper divisors (1374145).

8416289 is a wasteful number, since it uses less digits than its factorization.

8416289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171775 (or 171768 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 8416289 is about 2901.0841077087. The cubic root of 8416289 is about 203.4105839828.

The spelling of 8416289 in words is "eight million, four hundred sixteen thousand, two hundred eighty-nine".

Divisors: 1 7 49 171761 1202327 8416289