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52890329 is a prime number
BaseRepresentation
bin1100100111000…
…0101011011001
310200112002220002
43021300223121
5102014442304
65125342345
71211363132
oct311605331
9120462802
1052890329
1127945318
12158679b5
13ac5ab6b
14704ac89
15499b31e
hex3270ad9

52890329 has 2 divisors, whose sum is σ = 52890330. Its totient is φ = 52890328.

The previous prime is 52890289. The next prime is 52890337. The reversal of 52890329 is 92309825.

52890329 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., 35081929 + 17808400 = 5923^2 + 4220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52890329 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52890292 and 52890301.

It is not a weakly prime, because it can be changed into another prime (52890379) 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, 26445164 + 26445165.

It is an arithmetic number, because the mean of its divisors is an integer number (26445165).

Almost surely, 252890329 is an apocalyptic number.

It is an amenable number.

52890329 is a deficient number, since it is larger than the sum of its proper divisors (1).

52890329 is an equidigital number, since it uses as much as digits as its factorization.

52890329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 52890329 is about 7272.5737534933. The cubic root of 52890329 is about 375.3693049250.

The spelling of 52890329 in words is "fifty-two million, eight hundred ninety thousand, three hundred twenty-nine".