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85016405 = 5171000193
BaseRepresentation
bin1010001000100…
…11111101010101
312220222021120202
411010103331111
5133231011110
612234110245
72051425145
oct504237525
9186867522
1085016405
1143a980a1
122457b385
13147c8786
14b410925
1576e50a5
hex5113f55

85016405 has 8 divisors (see below), whose sum is σ = 108020952. Its totient is φ = 64012288.

The previous prime is 85016401. The next prime is 85016413. The reversal of 85016405 is 50461058.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38217124 + 46799281 = 6182^2 + 6841^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85016405 - 22 = 85016401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85016401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500012 + ... + 500181.

It is an arithmetic number, because the mean of its divisors is an integer number (13502619).

Almost surely, 285016405 is an apocalyptic number.

85016405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85016405 is a deficient number, since it is larger than the sum of its proper divisors (23004547).

85016405 is a wasteful number, since it uses less digits than its factorization.

85016405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000215.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 85016405 is about 9220.4341004098. The cubic root of 85016405 is about 439.7112516672.

The spelling of 85016405 in words is "eighty-five million, sixteen thousand, four hundred five".

Divisors: 1 5 17 85 1000193 5000965 17003281 85016405