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5284114825 = 521147463883
BaseRepresentation
bin1001110101111010…
…10011000110001001
3111122020222211211111
410322331103012021
541310213133300
62232200530321
7244642143403
oct47275230611
914566884744
105284114825
112271821750
1210357809a1
13662987182
14381adbb73
1520dd789ba
hex13af53189

5284114825 has 48 divisors (see below), whose sum is σ = 7324102656. Its totient is φ = 3748852800.

The previous prime is 5284114817. The next prime is 5284114841.

5284114825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5284114825 - 23 = 5284114817 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5983834 + ... + 5984716.

It is an arithmetic number, because the mean of its divisors is an integer number (152585472).

Almost surely, 25284114825 is an apocalyptic number.

5284114825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5284114825 is a deficient number, since it is larger than the sum of its proper divisors (2039987831).

5284114825 is a wasteful number, since it uses less digits than its factorization.

5284114825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1409 counting only the distinct ones).

The product of its digits is 102400, while the sum is 40.

The square root of 5284114825 is about 72691.9171916658. The cubic root of 5284114825 is about 1741.7697703310.

The spelling of 5284114825 in words is "five billion, two hundred eighty-four million, one hundred fourteen thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 47 55 235 275 463 517 883 1175 2315 2585 4415 5093 9713 11575 12925 21761 22075 25465 41501 48565 108805 127325 207505 239371 242825 408829 456511 544025 1037525 1196855 2044145 2282555 4497119 5984275 10220725 11412775 19214963 22485595 96074815 112427975 211364593 480374075 1056822965 5284114825