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82283305 = 5132322393
BaseRepresentation
bin1001110011110…
…00101100101001
312201211102110211
410321320230221
5132031031210
612055341121
72016253006
oct471705451
9181742424
1082283305
11424a0735
12236817a1
131407c760
14acdc8ad
15735538a
hex4e78b29

82283305 has 24 divisors (see below), whose sum is σ = 111206088. Its totient is φ = 58096896.

The previous prime is 82283297. The next prime is 82283317. The reversal of 82283305 is 50338228.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 79227801 = 1748^2 + 8901^2 .

It is not a de Polignac number, because 82283305 - 23 = 82283297 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33189 + ... + 35581.

It is an arithmetic number, because the mean of its divisors is an integer number (4633587).

Almost surely, 282283305 is an apocalyptic number.

It is an amenable number.

82283305 is a deficient number, since it is larger than the sum of its proper divisors (28922783).

82283305 is a wasteful number, since it uses less digits than its factorization.

82283305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 82283305 is about 9071.0145518569. The cubic root of 82283305 is about 434.9479040972.

The spelling of 82283305 in words is "eighty-two million, two hundred eighty-three thousand, three hundred five".

Divisors: 1 5 13 23 65 115 299 529 1495 2393 2645 6877 11965 31109 34385 55039 155545 275195 715507 1265897 3577535 6329485 16456661 82283305