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253868029 is a prime number
BaseRepresentation
bin11110010000110…
…11011111111101
3122200200211110121
433020123133331
51004442234104
641105134541
76201562012
oct1710333775
9580624417
10253868029
11120335898
127102a451
134079818c
1425a05709
151744a254
hexf21b7fd

253868029 has 2 divisors, whose sum is σ = 253868030. Its totient is φ = 253868028.

The previous prime is 253867967. The next prime is 253868053. The reversal of 253868029 is 920868352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252492100 + 1375929 = 15890^2 + 1173^2 .

It is a cyclic number.

It is not a de Polignac number, because 253868029 - 29 = 253867517 is a prime.

It is a super-2 number, since 2×2538680292 = 128897952296689682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253868129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126934014 + 126934015.

It is an arithmetic number, because the mean of its divisors is an integer number (126934015).

Almost surely, 2253868029 is an apocalyptic number.

It is an amenable number.

253868029 is a deficient number, since it is larger than the sum of its proper divisors (1).

253868029 is an equidigital number, since it uses as much as digits as its factorization.

253868029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 253868029 is about 15933.2366140719. The cubic root of 253868029 is about 633.1928522830.

The spelling of 253868029 in words is "two hundred fifty-three million, eight hundred sixty-eight thousand, twenty-nine".