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85473505 = 5136121557
BaseRepresentation
bin1010001100000…
…11100011100001
312221211111121101
411012003203201
5133340123010
612251554401
72055340615
oct506034341
9187744541
1085473505
114427a567
122475ba01
1314928850
14b4cd345
15778573a
hex51838e1

85473505 has 16 divisors (see below), whose sum is σ = 112274064. Its totient is φ = 62081280.

The previous prime is 85473503. The next prime is 85473511. The reversal of 85473505 is 50537458.

It can be written as a sum of positive squares in 8 ways, for example, as 44102881 + 41370624 = 6641^2 + 6432^2 .

It is not a de Polignac number, because 85473505 - 21 = 85473503 is a prime.

It is a super-3 number, since 3×854735053 (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 (85473503) 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 15 ways as a sum of consecutive naturals, for example, 6814 + ... + 14743.

It is an arithmetic number, because the mean of its divisors is an integer number (7017129).

Almost surely, 285473505 is an apocalyptic number.

It is an amenable number.

85473505 is a deficient number, since it is larger than the sum of its proper divisors (26800559).

85473505 is a wasteful number, since it uses less digits than its factorization.

85473505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21636.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 85473505 is about 9245.1882079274. The cubic root of 85473505 is about 440.4978954008.

The spelling of 85473505 in words is "eighty-five million, four hundred seventy-three thousand, five hundred five".

Divisors: 1 5 13 61 65 305 793 3965 21557 107785 280241 1314977 1401205 6574885 17094701 85473505