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1023567949 is a prime number
BaseRepresentation
bin111101000000100…
…110100001001101
32122100000122021001
4331000212201031
54044013133244
6245322340301
734236120055
oct7500464115
92570018231
101023567949
11485860828
1224695a691
1313409c611
1499d24565
155ecd95d4
hex3d02684d

1023567949 has 2 divisors, whose sum is σ = 1023567950. Its totient is φ = 1023567948.

The previous prime is 1023567947. The next prime is 1023567971. The reversal of 1023567949 is 9497653201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 797667049 + 225900900 = 28243^2 + 15030^2 .

It is an emirp because it is prime and its reverse (9497653201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023567949 - 21 = 1023567947 is a prime.

Together with 1023567947, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1023567899 and 1023567908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023567947) 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, 511783974 + 511783975.

It is an arithmetic number, because the mean of its divisors is an integer number (511783975).

Almost surely, 21023567949 is an apocalyptic number.

It is an amenable number.

1023567949 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023567949 is an equidigital number, since it uses as much as digits as its factorization.

1023567949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 1023567949 is about 31993.2484908926. The cubic root of 1023567949 is about 1007.7950621227.

The spelling of 1023567949 in words is "one billion, twenty-three million, five hundred sixty-seven thousand, nine hundred forty-nine".