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42032953 is a prime number
BaseRepresentation
bin1010000001010…
…1111100111001
32221002111101001
42200111330321
541230023303
64100525001
71020163024
oct240257471
987074331
1042032953
11217a9a86
12120b0761
138928c91
1458221bb
153a5431d
hex2815f39

42032953 has 2 divisors, whose sum is σ = 42032954. Its totient is φ = 42032952.

The previous prime is 42032951. The next prime is 42032989. The reversal of 42032953 is 35923024.

42032953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25775929 + 16257024 = 5077^2 + 4032^2 .

It is a cyclic number.

It is not a de Polignac number, because 42032953 - 21 = 42032951 is a prime.

Together with 42032951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42032951) 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, 21016476 + 21016477.

It is an arithmetic number, because the mean of its divisors is an integer number (21016477).

Almost surely, 242032953 is an apocalyptic number.

It is an amenable number.

42032953 is a deficient number, since it is larger than the sum of its proper divisors (1).

42032953 is an equidigital number, since it uses as much as digits as its factorization.

42032953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 42032953 is about 6483.2825790644. The cubic root of 42032953 is about 347.6935498551.

Adding to 42032953 its reverse (35923024), we get a palindrome (77955977).

The spelling of 42032953 in words is "forty-two million, thirty-two thousand, nine hundred fifty-three".