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4217085 = 325313023
BaseRepresentation
bin10000000101100011111101
321221020202100
4100011203331
52034421320
6230215313
750562465
oct20054375
97836670
104217085
1124203a4
1214b4539
13b48622
147baba5
15584790
hex4058fd

4217085 has 24 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 2175840.

The previous prime is 4217077. The next prime is 4217111. The reversal of 4217085 is 5807124.

It is not a de Polignac number, because 4217085 - 23 = 4217077 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 24217085 is an apocalyptic number.

4217085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4217085 is a deficient number, since it is larger than the sum of its proper divisors (3330819).

4217085 is a wasteful number, since it uses less digits than its factorization.

4217085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4217085 is about 2053.5542359529. The cubic root of 4217085 is about 161.5613418663.

The spelling of 4217085 in words is "four million, two hundred seventeen thousand, eighty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 3023 9069 15115 27207 45345 93713 136035 281139 468565 843417 1405695 4217085