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85438049 is a prime number
BaseRepresentation
bin1010001011110…
…10111001100001
312221202200222012
411011322321201
5133333004144
612251122305
72055132344
oct505727141
9187680865
1085438049
1144255964
1224743395
1314915678
14b4c045b
157779e9e
hex517ae61

85438049 has 2 divisors, whose sum is σ = 85438050. Its totient is φ = 85438048.

The previous prime is 85438027. The next prime is 85438061. The reversal of 85438049 is 94083458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59783824 + 25654225 = 7732^2 + 5065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85438049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85437997 and 85438015.

It is not a weakly prime, because it can be changed into another prime (85438019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42719024 + 42719025.

It is an arithmetic number, because the mean of its divisors is an integer number (42719025).

Almost surely, 285438049 is an apocalyptic number.

It is an amenable number.

85438049 is a deficient number, since it is larger than the sum of its proper divisors (1).

85438049 is an equidigital number, since it uses as much as digits as its factorization.

85438049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 85438049 is about 9243.2704709967. The cubic root of 85438049 is about 440.4369780695.

The spelling of 85438049 in words is "eighty-five million, four hundred thirty-eight thousand, forty-nine".