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85378049 is a prime number
BaseRepresentation
bin1010001011011…
…00010000000001
312221122122122222
411011230100001
5133324044144
612245540425
72054462411
oct505542001
9187578588
1085378049
1144214879
1224714715
13148c4273
14b4a6641
1577672ee
hex516c401

85378049 has 2 divisors, whose sum is σ = 85378050. Its totient is φ = 85378048.

The previous prime is 85378021. The next prime is 85378057. The reversal of 85378049 is 94087358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 148225 = 9232^2 + 385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85378049 is a prime.

It is a super-2 number, since 2×853780492 = 14578822502092802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85378019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42689024 + 42689025.

It is an arithmetic number, because the mean of its divisors is an integer number (42689025).

Almost surely, 285378049 is an apocalyptic number.

It is an amenable number.

85378049 is a deficient number, since it is larger than the sum of its proper divisors (1).

85378049 is an equidigital number, since it uses as much as digits as its factorization.

85378049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 85378049 is about 9240.0242965049. The cubic root of 85378049 is about 440.3338530276. Note that the first 3 decimals are identical.

The spelling of 85378049 in words is "eighty-five million, three hundred seventy-eight thousand, forty-nine".