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495405 = 325101109
BaseRepresentation
bin1111000111100101101
3221011120100
41320330231
5111323110
614341313
74132221
oct1707455
9834510
10495405
11309229
121ba839
13144651
14cc781
159bbc0
hex78f2d

495405 has 24 divisors (see below), whose sum is σ = 875160. Its totient is φ = 259200.

The previous prime is 495401. The next prime is 495413. The reversal of 495405 is 504594.

495405 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 213444 + 281961 = 462^2 + 531^2 .

It is not a de Polignac number, because 495405 - 22 = 495401 is a prime.

It is a super-2 number, since 2×4954052 = 490852228050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495401) 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, 4491 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (36465).

2495405 is an apocalyptic number.

495405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

495405 is a deficient number, since it is larger than the sum of its proper divisors (379755).

495405 is a wasteful number, since it uses less digits than its factorization.

495405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 495405 is about 703.8501260922. The cubic root of 495405 is about 79.1261670350.

Adding to 495405 its reverse (504594), we get a palindrome (999999).

It can be divided in two parts, 495 and 405, that added together give a square (900 = 302).

The spelling of 495405 in words is "four hundred ninety-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 101 109 303 327 505 545 909 981 1515 1635 4545 4905 11009 33027 55045 99081 165135 495405