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252106769 is a prime number
BaseRepresentation
bin11110000011011…
…01100000010001
3122120101100110202
433001231200101
51004014404034
641003304545
76150605105
oct1701554021
9576340422
10252106769
1111a342602
127051b155
13402cc605
14256a7905
15171ed47e
hexf06d811

252106769 has 2 divisors, whose sum is σ = 252106770. Its totient is φ = 252106768.

The previous prime is 252106747. The next prime is 252106819. The reversal of 252106769 is 967601252.

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., 146119744 + 105987025 = 12088^2 + 10295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252106769 is a prime.

It is a super-2 number, since 2×2521067692 = 127115645951238722, which contains 22 as substring.

It is a Chen prime.

It is equal to p13788236 and since 252106769 and 13788236 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (252106739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126053384 + 126053385.

It is an arithmetic number, because the mean of its divisors is an integer number (126053385).

Almost surely, 2252106769 is an apocalyptic number.

It is an amenable number.

252106769 is a deficient number, since it is larger than the sum of its proper divisors (1).

252106769 is an equidigital number, since it uses as much as digits as its factorization.

252106769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 252106769 is about 15877.8704176599. The cubic root of 252106769 is about 631.7251523816.

The spelling of 252106769 in words is "two hundred fifty-two million, one hundred six thousand, seven hundred sixty-nine".