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857322505 = 513294111093
BaseRepresentation
bin110011000110011…
…011010000001001
32012202012111101101
4303012123100021
53223433310010
6221023221401
730150056344
oct6306332011
92182174341
10857322505
113aaa330a6
121bb147861
13108803230
1481c0b45b
15503eb73a
hex3319b409

857322505 has 32 divisors (see below), whose sum is σ = 1174188960. Its totient is φ = 596305920.

The previous prime is 857322491. The next prime is 857322509. The reversal of 857322505 is 505223758.

It can be written as a sum of positive squares in 16 ways, for example, as 395373456 + 461949049 = 19884^2 + 21493^2 .

It is not a de Polignac number, because 857322505 - 225 = 823768073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (857322509) 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 31 ways as a sum of consecutive naturals, for example, 71739 + ... + 82831.

It is an arithmetic number, because the mean of its divisors is an integer number (36693405).

Almost surely, 2857322505 is an apocalyptic number.

It is an amenable number.

857322505 is a deficient number, since it is larger than the sum of its proper divisors (316866455).

857322505 is a wasteful number, since it uses less digits than its factorization.

857322505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11181.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 857322505 is about 29280.0700989598. The cubic root of 857322505 is about 949.9806108693.

The spelling of 857322505 in words is "eight hundred fifty-seven million, three hundred twenty-two thousand, five hundred five".

Divisors: 1 5 13 29 41 65 145 205 377 533 1189 1885 2665 5945 11093 15457 55465 77285 144209 321697 454813 721045 1608485 2274065 4182061 5912569 13189577 20910305 29562845 65947885 171464501 857322505