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85756321 = 721750129
BaseRepresentation
bin1010001110010…
…00100110100001
312222100212120001
411013020212201
5133423200241
612302020001
72060626300
oct507104641
9188325501
1085756321
1144452aa2
1224877601
13149c74b1
14b564437
1577de431
hex51c89a1

85756321 has 6 divisors (see below), whose sum is σ = 99757410. Its totient is φ = 73505376.

The previous prime is 85756303. The next prime is 85756331. The reversal of 85756321 is 12365758.

It can be written as a sum of positive squares in only one way, i.e., 79405921 + 6350400 = 8911^2 + 2520^2 .

It is not a de Polignac number, because 85756321 - 217 = 85625249 is a prime.

It is a super-3 number, since 3×857563213 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85756331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 875016 + ... + 875113.

It is an arithmetic number, because the mean of its divisors is an integer number (16626235).

Almost surely, 285756321 is an apocalyptic number.

It is an amenable number.

85756321 is a deficient number, since it is larger than the sum of its proper divisors (14001089).

85756321 is a wasteful number, since it uses less digits than its factorization.

85756321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750143 (or 1750136 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 85756321 is about 9260.4708843557. The cubic root of 85756321 is about 440.9832025180.

The spelling of 85756321 in words is "eighty-five million, seven hundred fifty-six thousand, three hundred twenty-one".

Divisors: 1 7 49 1750129 12250903 85756321