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82864645 = 5374011117
BaseRepresentation
bin1001111000001…
…10101000000101
312202220221220221
410330012220011
5132203132040
612120024341
72024223613
oct474065005
9182827827
1082864645
1142858486
12239020b1
1314224246
14b0106b3
15741c74a
hex4f06a05

82864645 has 16 divisors (see below), whose sum is σ = 102471408. Its totient is φ = 64281600.

The previous prime is 82864631. The next prime is 82864667. The reversal of 82864645 is 54646828.

It can be written as a sum of positive squares in 8 ways, for example, as 3690241 + 79174404 = 1921^2 + 8898^2 .

It is not a de Polignac number, because 82864645 - 27 = 82864517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73627 + ... + 74743.

It is an arithmetic number, because the mean of its divisors is an integer number (6404463).

Almost surely, 282864645 is an apocalyptic number.

It is an amenable number.

82864645 is a deficient number, since it is larger than the sum of its proper divisors (19606763).

82864645 is a wasteful number, since it uses less digits than its factorization.

82864645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560.

The product of its digits is 368640, while the sum is 43.

The square root of 82864645 is about 9103.0019773699. The cubic root of 82864645 is about 435.9698184225.

The spelling of 82864645 in words is "eighty-two million, eight hundred sixty-four thousand, six hundred forty-five".

Divisors: 1 5 37 185 401 1117 2005 5585 14837 41329 74185 206645 447917 2239585 16572929 82864645