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8280513 = 321754121
BaseRepresentation
bin11111100101100111000001
3120120200201200
4133211213001
54104434023
6453251413
7130245303
oct37454701
916520650
108280513
1147462aa
122933b69
13193c017
141157973
15ad8743
hex7e59c1

8280513 has 12 divisors (see below), whose sum is σ = 12664548. Its totient is φ = 5195520.

The previous prime is 8280511. The next prime is 8280521. The reversal of 8280513 is 3150828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 6066369 = 1488^2 + 2463^2 .

It is not a de Polignac number, because 8280513 - 21 = 8280511 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

8280513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8280511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26908 + ... + 27213.

It is an arithmetic number, because the mean of its divisors is an integer number (1055379).

Almost surely, 28280513 is an apocalyptic number.

It is an amenable number.

8280513 is a deficient number, since it is larger than the sum of its proper divisors (4384035).

8280513 is a wasteful number, since it uses less digits than its factorization.

8280513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54144 (or 54141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8280513 is about 2877.5880525190. The cubic root of 8280513 is about 202.3108063753.

It can be divided in two parts, 82 and 80513, that multiplied together give a palindrome (6602066).

The spelling of 8280513 in words is "eight million, two hundred eighty thousand, five hundred thirteen".

Divisors: 1 3 9 17 51 153 54121 162363 487089 920057 2760171 8280513