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42417 = 331571
BaseRepresentation
bin1010010110110001
32011012000
422112301
52324132
6524213
7234444
oct122661
964160
1042417
1129961
1220669
13163cb
141165b
15c87c
hexa5b1

42417 has 8 divisors (see below), whose sum is σ = 62880. Its totient is φ = 28260.

The previous prime is 42409. The next prime is 42433. The reversal of 42417 is 71424.

It is a happy number.

42417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42417 - 23 = 42409 is a prime.

It is a plaindrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 42417.

It is not an unprimeable number, because it can be changed into a prime (42407) 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, 759 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (7860).

242417 is an apocalyptic number.

It is an amenable number.

42417 is a deficient number, since it is larger than the sum of its proper divisors (20463).

42417 is a wasteful number, since it uses less digits than its factorization.

42417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 42417 is about 205.9538783320. The cubic root of 42417 is about 34.8749277372.

It can be divided in two parts, 424 and 17, that added together give a square (441 = 212).

The spelling of 42417 in words is "forty-two thousand, four hundred seventeen", and thus it is an iban number.

Divisors: 1 3 9 27 1571 4713 14139 42417