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427823 = 11192389
BaseRepresentation
bin1101000011100101111
3210201212022
41220130233
5102142243
613100355
73431204
oct1503457
9721768
10427823
11272480
121876bb
1311c966
14b1cab
1586b68
hex6872f

427823 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 348480.

The previous prime is 427813. The next prime is 427849. The reversal of 427823 is 328724.

427823 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 427823 - 210 = 426799 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 427792 and 427801.

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 427823.

It is not an unprimeable number, because it can be changed into a prime (427813) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4763 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2427823 is an apocalyptic number.

427823 is a deficient number, since it is larger than the sum of its proper divisors (90577).

427823 is a wasteful number, since it uses less digits than its factorization.

427823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 2688, while the sum is 26.

The square root of 427823 is about 654.0817991658. The cubic root of 427823 is about 75.3508304221.

Subtracting from 427823 its reverse (328724), we obtain a palindrome (99099).

The spelling of 427823 in words is "four hundred twenty-seven thousand, eight hundred twenty-three".

Divisors: 1 11 19 23 89 209 253 437 979 1691 2047 4807 18601 22517 38893 427823