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504305 = 5172349
BaseRepresentation
bin1111011000111110001
3221121202222
41323013301
5112114210
614450425
74200164
oct1730761
9847688
10504305
1131498a
12203a15
13148709
14d1adb
159e655
hex7b1f1

504305 has 12 divisors (see below), whose sum is σ = 644700. Its totient is φ = 378624.

The previous prime is 504299. The next prime is 504307. The reversal of 504305 is 503405.

It can be written as a sum of positive squares in 6 ways, for example, as 58081 + 446224 = 241^2 + 668^2 .

It is not a de Polignac number, because 504305 - 24 = 504289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1271 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (53725).

2504305 is an apocalyptic number.

It is an amenable number.

504305 is a deficient number, since it is larger than the sum of its proper divisors (140395).

504305 is a wasteful number, since it uses less digits than its factorization.

504305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 504305 is about 710.1443515230. The cubic root of 504305 is about 79.5971939955.

Subtracting from 504305 its reverse (503405), we obtain a square (900 = 302).

The spelling of 504305 in words is "five hundred four thousand, three hundred five".

Divisors: 1 5 17 85 289 349 1445 1745 5933 29665 100861 504305