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816004829 is a prime number
BaseRepresentation
bin110000101000110…
…011111011011101
32002212110100012002
4300220303323131
53132344123304
6212545452045
726135632553
oct6050637335
92085410162
10816004829
11389682562
121a9341025
131000979c3
147a533bd3
154b98931e
hex30a33edd

816004829 has 2 divisors, whose sum is σ = 816004830. Its totient is φ = 816004828.

The previous prime is 816004823. The next prime is 816004841. The reversal of 816004829 is 928400618.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 709956025 + 106048804 = 26645^2 + 10298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-816004829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 816004792 and 816004801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (816004823) 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 as a sum of consecutive naturals, namely, 408002414 + 408002415.

It is an arithmetic number, because the mean of its divisors is an integer number (408002415).

Almost surely, 2816004829 is an apocalyptic number.

It is an amenable number.

816004829 is a deficient number, since it is larger than the sum of its proper divisors (1).

816004829 is an equidigital number, since it uses as much as digits as its factorization.

816004829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 816004829 is about 28565.7982384529. The cubic root of 816004829 is about 934.4675890233.

The spelling of 816004829 in words is "eight hundred sixteen million, four thousand, eight hundred twenty-nine".