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85776534 = 23219324691
BaseRepresentation
bin1010001110011…
…01100010010110
312222101220021200
411013031202112
5133424322114
612302253330
72061042234
oct507154226
9188356250
1085776534
11444671a8
1224887246
1314a0375c
14b56b954
1577e5409
hex51cd896

85776534 has 24 divisors (see below), whose sum is σ = 186819672. Its totient is φ = 28442880.

The previous prime is 85776521. The next prime is 85776539. The reversal of 85776534 is 43567758.

It is a super-3 number, since 3×857765343 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 85776534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85776539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8872 + ... + 15819.

It is an arithmetic number, because the mean of its divisors is an integer number (7784153).

Almost surely, 285776534 is an apocalyptic number.

85776534 is an abundant number, since it is smaller than the sum of its proper divisors (101043138).

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

85776534 is a wasteful number, since it uses less digits than its factorization.

85776534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24892 (or 24889 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 85776534 is about 9261.5621792438. The cubic root of 85776534 is about 441.0178467796.

The spelling of 85776534 in words is "eighty-five million, seven hundred seventy-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 24691 49382 74073 148146 222219 444438 4765363 9530726 14296089 28592178 42888267 85776534