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85776705 = 3357212967
BaseRepresentation
bin1010001110011…
…01100101000001
312222101220112000
411013031211001
5133424323310
612302254213
72061042600
oct507154501
9188356460
1085776705
1144467343
1224887369
1314a03861
14b56ba37
1577e54c0
hex51cd941

85776705 has 48 divisors (see below), whose sum is σ = 177402240. Its totient is φ = 39209184.

The previous prime is 85776673. The next prime is 85776731. The reversal of 85776705 is 50767758.

85776705 is a `hidden beast` number, since 8 + 577 + 6 + 70 + 5 = 666.

It is not a de Polignac number, because 85776705 - 25 = 85776673 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (3695880).

Almost surely, 285776705 is an apocalyptic number.

It is an amenable number.

85776705 is an abundant number, since it is smaller than the sum of its proper divisors (91625535).

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

85776705 is a wasteful number, since it uses less digits than its factorization.

85776705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12995 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 85776705 is about 9261.5714109432. The cubic root of 85776705 is about 441.0181398434.

The spelling of 85776705 in words is "eighty-five million, seven hundred seventy-six thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 12967 38901 64835 90769 116703 194505 272307 350109 453845 583515 635383 816921 1361535 1750545 1906149 2450763 3176915 4084605 5718447 9530745 12253815 17155341 28592235 85776705