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85966425 = 3252382073
BaseRepresentation
bin1010001111110…
…11111001011001
312222202112202200
411013323321121
5134001411200
612310320413
72062462656
oct507737131
9188675680
1085966425
1144586936
1224959109
1314a6c00c
14b5bac2d
157831800
hex51fbe59

85966425 has 18 divisors (see below), whose sum is σ = 153975822. Its totient is φ = 45848640.

The previous prime is 85966421. The next prime is 85966459. The reversal of 85966425 is 52466958.

It can be written as a sum of positive squares in 3 ways, for example, as 3229209 + 82737216 = 1797^2 + 9096^2 .

It is not a de Polignac number, because 85966425 - 22 = 85966421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85966421) 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 in 17 ways as a sum of consecutive naturals, for example, 190812 + ... + 191261.

Almost surely, 285966425 is an apocalyptic number.

It is an amenable number.

85966425 is a deficient number, since it is larger than the sum of its proper divisors (68009397).

85966425 is a wasteful number, since it uses less digits than its factorization.

85966425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382089 (or 382081 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 85966425 is about 9271.8080760982. The cubic root of 85966425 is about 441.3430468229.

The spelling of 85966425 in words is "eighty-five million, nine hundred sixty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 382073 1146219 1910365 3438657 5731095 9551825 17193285 28655475 85966425