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1042657829 is a prime number
BaseRepresentation
bin111110001001011…
…011001000100101
32200122221111122122
4332021123020211
54113410022304
6251243435325
734560305513
oct7611331045
92618844578
101042657829
1149560a294
12251225b45
131380246c5
149c6934b3
156180a9be
hex3e25b225

1042657829 has 2 divisors, whose sum is σ = 1042657830. Its totient is φ = 1042657828.

The previous prime is 1042657801. The next prime is 1042657831. The reversal of 1042657829 is 9287562401.

It is a happy number.

1042657829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 641456929 + 401200900 = 25327^2 + 20030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1042657829 is a prime.

Together with 1042657831, 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 1042657829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1042657849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 521328914 + 521328915.

It is an arithmetic number, because the mean of its divisors is an integer number (521328915).

Almost surely, 21042657829 is an apocalyptic number.

It is an amenable number.

1042657829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1042657829 is an equidigital number, since it uses as much as digits as its factorization.

1042657829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 1042657829 is about 32290.2125883370. The cubic root of 1042657829 is about 1014.0217479810.

The spelling of 1042657829 in words is "one billion, forty-two million, six hundred fifty-seven thousand, eight hundred twenty-nine".