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1028307829 is a prime number
BaseRepresentation
bin111101010010101…
…011101101110101
32122122221110011011
4331102223231311
54101221322304
6250012112221
734324321003
oct7522535565
92578843134
101028307829
114884a898a
12248465671
1313506bb93
149a7d9a73
1560423c04
hex3d4abb75

1028307829 has 2 divisors, whose sum is σ = 1028307830. Its totient is φ = 1028307828.

The previous prime is 1028307827. The next prime is 1028307871. The reversal of 1028307829 is 9287038201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 879419025 + 148888804 = 29655^2 + 12202^2 .

It is a cyclic number.

It is not a de Polignac number, because 1028307829 - 21 = 1028307827 is a prime.

Together with 1028307827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1028307791 and 1028307800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1028307823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514153914 + 514153915.

It is an arithmetic number, because the mean of its divisors is an integer number (514153915).

Almost surely, 21028307829 is an apocalyptic number.

It is an amenable number.

1028307829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1028307829 is an equidigital number, since it uses as much as digits as its factorization.

1028307829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1028307829 is about 32067.2391858108. The cubic root of 1028307829 is about 1009.3482803382.

The spelling of 1028307829 in words is "one billion, twenty-eight million, three hundred seven thousand, eight hundred twenty-nine".