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1009483829 is a prime number
BaseRepresentation
bin111100001010111…
…000000000110101
32121100112002110222
4330022320000311
54031411440304
6244100424125
734005320354
oct7412700065
92540462428
101009483829
11478911162
122420a8045
131311aab13
14980d999b
155d9564be
hex3c2b8035

1009483829 has 2 divisors, whose sum is σ = 1009483830. Its totient is φ = 1009483828.

The previous prime is 1009483793. The next prime is 1009483831. The reversal of 1009483829 is 9283849001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 712783204 + 296700625 = 26698^2 + 17225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1009483829 is a prime.

Together with 1009483831, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1009483829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009483859) 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 as a sum of consecutive naturals, namely, 504741914 + 504741915.

It is an arithmetic number, because the mean of its divisors is an integer number (504741915).

Almost surely, 21009483829 is an apocalyptic number.

It is an amenable number.

1009483829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009483829 is an equidigital number, since it uses as much as digits as its factorization.

1009483829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 1009483829 is about 31772.3752495781. The cubic root of 1009483829 is about 1003.1513349892.

The spelling of 1009483829 in words is "one billion, nine million, four hundred eighty-three thousand, eight hundred twenty-nine".