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2032957441 is a prime number
BaseRepresentation
bin111100100101100…
…0111100000000001
312020200100221100001
41321023013200001
513130414114231
6533421200001
7101243565424
oct17113074001
95220327301
102032957441
11953608019
12488a00001
132652464c8
14153dd79bb
15bd722b61
hex792c7801

2032957441 has 2 divisors, whose sum is σ = 2032957442. Its totient is φ = 2032957440.

The previous prime is 2032957439. The next prime is 2032957471. The reversal of 2032957441 is 1447592302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1259895025 + 773062416 = 35495^2 + 27804^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032957441 - 21 = 2032957439 is a prime.

Together with 2032957439, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2032957441.

It is not a weakly prime, because it can be changed into another prime (2032957471) 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, 1016478720 + 1016478721.

It is an arithmetic number, because the mean of its divisors is an integer number (1016478721).

Almost surely, 22032957441 is an apocalyptic number.

It is an amenable number.

2032957441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2032957441 is an equidigital number, since it uses as much as digits as its factorization.

2032957441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2032957441 is about 45088.3293214552. The cubic root of 2032957441 is about 1266.8040087073.

Adding to 2032957441 its product of nonzero digits (60480), we get a square (2033017921 = 450892).

The spelling of 2032957441 in words is "two billion, thirty-two million, nine hundred fifty-seven thousand, four hundred forty-one".