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42217 = 737163
BaseRepresentation
bin1010010011101001
32010220121
422103221
52322332
6523241
7234040
oct122351
963817
1042217
112979a
1220521
13162a6
1411557
15c797
hexa4e9

42217 has 8 divisors (see below), whose sum is σ = 49856. Its totient is φ = 34992.

The previous prime is 42209. The next prime is 42221. The reversal of 42217 is 71224.

42217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a 7-Lehmer number, since φ(42217) divides (42217-1)7.

It is a cyclic number.

It is not a de Polignac number, because 42217 - 23 = 42209 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 42217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (6232).

242217 is an apocalyptic number.

It is an amenable number.

42217 is a deficient number, since it is larger than the sum of its proper divisors (7639).

42217 is a wasteful number, since it uses less digits than its factorization.

42217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its digits is 112, while the sum is 16.

The square root of 42217 is about 205.4677590280. The cubic root of 42217 is about 34.8200285464.

The spelling of 42217 in words is "forty-two thousand, two hundred seventeen", and thus it is an iban number.

Divisors: 1 7 37 163 259 1141 6031 42217