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828411669 = 32457201413
BaseRepresentation
bin110001011000001…
…000111100010101
32010201210200011200
4301120020330111
53144033133134
6214111423113
726346245241
oct6130107425
92121720150
10828411669
11395686a48
121b1524a99
1310281cc27
147c043421
154cada499
hex31608f15

828411669 has 12 divisors (see below), whose sum is σ = 1199218956. Its totient is φ = 551063232.

The previous prime is 828411637. The next prime is 828411671. The reversal of 828411669 is 966114828.

It can be written as a sum of positive squares in 2 ways, for example, as 668894769 + 159516900 = 25863^2 + 12630^2 .

It is not a de Polignac number, because 828411669 - 25 = 828411637 is a prime.

It is a super-3 number, since 3×8284116693 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828411679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96594 + ... + 104819.

It is an arithmetic number, because the mean of its divisors is an integer number (99934913).

Almost surely, 2828411669 is an apocalyptic number.

It is an amenable number.

828411669 is a deficient number, since it is larger than the sum of its proper divisors (370807287).

828411669 is a wasteful number, since it uses less digits than its factorization.

828411669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201876 (or 201873 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 828411669 is about 28782.1414943364. The cubic root of 828411669 is about 939.1797843618.

The spelling of 828411669 in words is "eight hundred twenty-eight million, four hundred eleven thousand, six hundred sixty-nine".

Divisors: 1 3 9 457 1371 4113 201413 604239 1812717 92045741 276137223 828411669