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252837433 is a prime number
BaseRepresentation
bin11110001000111…
…11111000111001
3122121202110202101
433010133320321
51004211244213
641031103401
76160040242
oct1704377071
9577673671
10252837433
1111a7a1562
1270811b61
13404c7064
1425817cc9
15172e4bdd
hexf11fe39

252837433 has 2 divisors, whose sum is σ = 252837434. Its totient is φ = 252837432.

The previous prime is 252837421. The next prime is 252837437. The reversal of 252837433 is 334738252.

It is the 6492-nd star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210743289 + 42094144 = 14517^2 + 6488^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252837433 is a prime.

It is equal to p13825981 and since 252837433 and 13825981 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 252837392 and 252837401.

It is not a weakly prime, because it can be changed into another prime (252837437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126418716 + 126418717.

It is an arithmetic number, because the mean of its divisors is an integer number (126418717).

Almost surely, 2252837433 is an apocalyptic number.

It is an amenable number.

252837433 is a deficient number, since it is larger than the sum of its proper divisors (1).

252837433 is an equidigital number, since it uses as much as digits as its factorization.

252837433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 37.

The square root of 252837433 is about 15900.8626495546. The cubic root of 252837433 is about 632.3348591661.

The spelling of 252837433 in words is "two hundred fifty-two million, eight hundred thirty-seven thousand, four hundred thirty-three".