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828464829 = 313110132081
BaseRepresentation
bin110001011000010…
…101111010111101
32010201220101002120
4301120111322331
53144041333304
6214112513153
726346556233
oct6130257275
92121811076
10828464829
11395712985
121b154b7b9
1310283b19a
147c058953
154caeb0d9
hex31615ebd

828464829 has 16 divisors (see below), whose sum is σ = 1114686144. Its totient is φ = 547289600.

The previous prime is 828464827. The next prime is 828464831. The reversal of 828464829 is 928464828.

It is an interprime number because it is at equal distance from previous prime (828464827) and next prime (828464831).

It is a cyclic number.

It is not a de Polignac number, because 828464829 - 21 = 828464827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828464821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397069 + ... + 399149.

It is an arithmetic number, because the mean of its divisors is an integer number (69667884).

Almost surely, 2828464829 is an apocalyptic number.

It is an amenable number.

828464829 is a deficient number, since it is larger than the sum of its proper divisors (286221315).

828464829 is a wasteful number, since it uses less digits than its factorization.

828464829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228.

The product of its digits is 1769472, while the sum is 51.

The square root of 828464829 is about 28783.0649688319. The cubic root of 828464829 is about 939.1998732988.

Subtracting 828464829 from its reverse (928464828), we obtain a palindrome (99999999).

The spelling of 828464829 in words is "eight hundred twenty-eight million, four hundred sixty-four thousand, eight hundred twenty-nine".

Divisors: 1 3 131 393 1013 2081 3039 6243 132703 272611 398109 817833 2108053 6324159 276154943 828464829