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8005002775 = 527114158443
BaseRepresentation
bin1110111010010001…
…01010011000010111
3202122212211021102021
413131020222120113
5112343240042100
63402154554011
7402241254340
oct73510523027
922585737367
108005002775
113438685080
121674a38907
139a75a5243
1455d20b0c7
1531cb87a1a
hex1dd22a617

8005002775 has 24 divisors (see below), whose sum is σ = 12375529344. Its totient is φ = 4990130400.

The previous prime is 8005002769. The next prime is 8005002787. The reversal of 8005002775 is 5772005008.

It is not a de Polignac number, because 8005002775 - 25 = 8005002743 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8005002775.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 2077297 + ... + 2081146.

It is an arithmetic number, because the mean of its divisors is an integer number (515647056).

Almost surely, 28005002775 is an apocalyptic number.

8005002775 is a deficient number, since it is larger than the sum of its proper divisors (4370526569).

8005002775 is a wasteful number, since it uses less digits than its factorization.

8005002775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158471 (or 4158466 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 8005002775 is about 89470.6810916291. The cubic root of 8005002775 is about 2000.4168110449.

The spelling of 8005002775 in words is "eight billion, five million, two thousand, seven hundred seventy-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 1925 4158443 20792215 29109101 45742873 103961075 145545505 228714365 320200111 727727525 1143571825 1601000555 8005002775