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82312875 = 3353293
BaseRepresentation
bin1001110011111…
…11111010101011
312201212221001000
410321333322223
5132033003000
612100130043
72016435141
oct471777253
9181787030
1082312875
1142510977
1223696923
1314090058
14ad09591
15735e000
hex4e7feab

82312875 has 64 divisors (see below), whose sum is σ = 157622400. Its totient is φ = 42386400.

The previous prime is 82312873. The next prime is 82312877. The reversal of 82312875 is 57821328.

The cubic root of 82312875 is 435.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (82312873) and next prime (82312877).

It is not a de Polignac number, because 82312875 - 21 = 82312873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82312873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2838361 + ... + 2838389.

It is an arithmetic number, because the mean of its divisors is an integer number (2462850).

Almost surely, 282312875 is an apocalyptic number.

82312875 is a deficient number, since it is larger than the sum of its proper divisors (75309525).

82312875 is an frugal number, since it uses more digits than its factorization.

82312875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 37 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82312875 is about 9072.6443223572.

The spelling of 82312875 in words is "eighty-two million, three hundred twelve thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 125 135 145 225 261 375 435 675 725 783 841 1125 1305 2175 2523 3375 3625 3915 4205 6525 7569 10875 12615 19575 21025 22707 24389 32625 37845 63075 73167 97875 105125 113535 121945 189225 219501 315375 365835 567675 609725 658503 946125 1097505 1829175 2838375 3048625 3292515 5487525 9145875 16462575 27437625 82312875