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427917 = 3724171
BaseRepresentation
bin1101000011110001101
3210201222210
41220132031
5102143132
613101033
73431400
oct1503615
9721883
10427917
11272556
12187779
1311ca09
14b1d37
1586bcc
hex6878d

427917 has 24 divisors (see below), whose sum is σ = 689472. Its totient is φ = 235200.

The previous prime is 427913. The next prime is 427919. The reversal of 427917 is 719724.

It is not a de Polignac number, because 427917 - 22 = 427913 is a prime.

It is a super-2 number, since 2×4279172 = 366225917778, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427917.

It is not an unprimeable number, because it can be changed into a prime (427913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5992 + ... + 6062.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2427917 is an apocalyptic number.

It is an amenable number.

427917 is a deficient number, since it is larger than the sum of its proper divisors (261555).

427917 is a wasteful number, since it uses less digits than its factorization.

427917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 427917 is about 654.1536516752. The cubic root of 427917 is about 75.3563486382.

The spelling of 427917 in words is "four hundred twenty-seven thousand, nine hundred seventeen".

Divisors: 1 3 7 21 41 49 71 123 147 213 287 497 861 1491 2009 2911 3479 6027 8733 10437 20377 61131 142639 427917