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85362795 = 3357103877
BaseRepresentation
bin1010001011010…
…00100001101011
312221121212202000
411011220201223
5133323102140
612245342043
72054400060
oct505504153
9187555660
1085362795
1144204371
1224707923
13148ba33b
14b4a0c67
157762a30
hex516886b

85362795 has 64 divisors (see below), whose sum is σ = 175319040. Its totient is φ = 38600064.

The previous prime is 85362791. The next prime is 85362817. The reversal of 85362795 is 59726358.

It is a happy number.

85362795 is a `hidden beast` number, since 8 + 536 + 27 + 95 = 666.

It is not a de Polignac number, because 85362795 - 22 = 85362791 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85362795.

It is not an unprimeable number, because it can be changed into a prime (85362791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96897 + ... + 97773.

It is an arithmetic number, because the mean of its divisors is an integer number (2739360).

Almost surely, 285362795 is an apocalyptic number.

85362795 is an abundant number, since it is smaller than the sum of its proper divisors (89956245).

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

85362795 is a wasteful number, since it uses less digits than its factorization.

85362795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85362795 is about 9239.1988289029. The cubic root of 85362795 is about 440.3076275019.

The spelling of 85362795 in words is "eighty-five million, three hundred sixty-two thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 189 309 315 515 721 877 927 945 1545 2163 2631 2781 3605 4385 4635 6139 6489 7893 10815 13155 13905 18417 19467 23679 30695 32445 39465 55251 90331 92085 97335 118395 165753 270993 276255 451655 632317 812979 828765 1354965 1896951 2438937 3161585 4064895 5690853 9484755 12194685 17072559 28454265 85362795