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86057757 = 32171015569
BaseRepresentation
bin1010010000100…
…10001100011101
312222221012001100
411020102030131
5134012322012
612312303313
72063323152
oct510221435
9188835040
1086057757
1144639515
12249a1b39
1314aa1766
14b602229
15784d8dc
hex521231d

86057757 has 24 divisors (see below), whose sum is σ = 132944760. Its totient is φ = 53452800.

The previous prime is 86057747. The next prime is 86057759. The reversal of 86057757 is 75775068.

It can be written as a sum of positive squares in 4 ways, for example, as 32387481 + 53670276 = 5691^2 + 7326^2 .

It is not a de Polignac number, because 86057757 - 26 = 86057693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86057759) 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 23 ways as a sum of consecutive naturals, for example, 12669 + ... + 18237.

It is an arithmetic number, because the mean of its divisors is an integer number (5539365).

Almost surely, 286057757 is an apocalyptic number.

It is an amenable number.

86057757 is a deficient number, since it is larger than the sum of its proper divisors (46887003).

86057757 is a wasteful number, since it uses less digits than its factorization.

86057757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5690 counting only the distinct ones).

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

The square root of 86057757 is about 9276.7320215688. The cubic root of 86057757 is about 441.4992879628.

The spelling of 86057757 in words is "eighty-six million, fifty-seven thousand, seven hundred fifty-seven".

Divisors: 1 3 9 17 51 101 153 303 909 1717 5151 5569 15453 16707 50121 94673 284019 562469 852057 1687407 5062221 9561973 28685919 86057757