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42717 = 329491
BaseRepresentation
bin1010011011011101
32011121010
422123131
52331332
6525433
7235353
oct123335
964533
1042717
112a104
1220879
131659c
14117d3
15c9cc
hexa6dd

42717 has 8 divisors (see below), whose sum is σ = 59040. Its totient is φ = 27440.

The previous prime is 42709. The next prime is 42719. The reversal of 42717 is 71724.

42717 is nontrivially palindromic in base 5.

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 42717 - 23 = 42709 is a prime.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 42693 and 42702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42719) 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, 159 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

242717 is an apocalyptic number.

It is an amenable number.

42717 is a deficient number, since it is larger than the sum of its proper divisors (16323).

42717 is a wasteful number, since it uses less digits than its factorization.

42717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its digits is 392, while the sum is 21.

The square root of 42717 is about 206.6809134874. The cubic root of 42717 is about 34.9569538825.

It can be divided in two parts, 4271 and 7, that added together give a triangular number (4278 = T92).

The spelling of 42717 in words is "forty-two thousand, seven hundred seventeen", and thus it is an iban number.

Divisors: 1 3 29 87 491 1473 14239 42717