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85795605 = 345753571
BaseRepresentation
bin1010001110100…
…10001100010101
312222102212110000
411013102030111
5133430424410
612302521513
72061151650
oct507221425
9188385400
1085795605
114447a565
1224896299
1314a0c33c
14b574897
1577eadc0
hex51d2315

85795605 has 80 divisors (see below), whose sum is σ = 179397504. Its totient is φ = 38413440.

The previous prime is 85795603. The next prime is 85795609. The reversal of 85795605 is 50659758.

85795605 is a `hidden beast` number, since 85 + 7 + 9 + 560 + 5 = 666.

It is not a de Polignac number, because 85795605 - 21 = 85795603 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85795603) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149970 + ... + 150540.

Almost surely, 285795605 is an apocalyptic number.

It is an amenable number.

85795605 is an abundant number, since it is smaller than the sum of its proper divisors (93601899).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85795605 is a wasteful number, since it uses less digits than its factorization.

85795605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 85795605 is about 9262.5916999509. The cubic root of 85795605 is about 441.0505287098.

The spelling of 85795605 in words is "eighty-five million, seven hundred ninety-five thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 53 63 81 105 135 159 189 265 315 371 405 477 567 571 795 945 1113 1431 1713 1855 2385 2835 2855 3339 3997 4293 5139 5565 7155 8565 10017 11991 15417 16695 19985 21465 25695 30051 30263 35973 46251 50085 59955 77085 90789 107919 150255 151315 179865 211841 231255 272367 323757 453945 539595 635523 817101 1059205 1361835 1618785 1906569 2451303 3177615 4085505 5719707 9532845 12256515 17159121 28598535 85795605