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530829 = 32132349
BaseRepresentation
bin10000001100110001101
3222222011100
42001212031
5113441304
615213313
74340415
oct2014615
9888140
10530829
11332902
12217239
13157800
14db645
15a7439
hex8198d

530829 has 18 divisors (see below), whose sum is σ = 832650. Its totient is φ = 325728.

The previous prime is 530807. The next prime is 530833. The reversal of 530829 is 928035.

It can be written as a sum of positive squares in 3 ways, for example, as 8100 + 522729 = 90^2 + 723^2 .

It is not a de Polignac number, because 530829 - 25 = 530797 is a prime.

530829 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1347 + ... + 1695.

2530829 is an apocalyptic number.

It is an amenable number.

530829 is a deficient number, since it is larger than the sum of its proper divisors (301821).

530829 is a wasteful number, since it uses less digits than its factorization.

530829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 530829 is about 728.5801259985. The cubic root of 530829 is about 80.9688952358.

The spelling of 530829 in words is "five hundred thirty thousand, eight hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 349 507 1047 1521 3141 4537 13611 40833 58981 176943 530829