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395166852 = 223210976857
BaseRepresentation
bin10111100011011…
…100010010000100
31000112120120000100
4113203130102010
51302130314402
6103113444100
712535601643
oct2743342204
91015516010
10395166852
11193074783
12b0410630
1363b3b752
143a6a735a
1524a5b71c
hex178dc484

395166852 has 18 divisors (see below), whose sum is σ = 998894078. Its totient is φ = 131722272.

The previous prime is 395166851. The next prime is 395166859. The reversal of 395166852 is 258661593.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 191933316 = 14256^2 + 13854^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×3951668523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 395166798 and 395166807.

It is not an unprimeable number, because it can be changed into a prime (395166851) 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 5 ways as a sum of consecutive naturals, for example, 5488393 + ... + 5488464.

Almost surely, 2395166852 is an apocalyptic number.

It is an amenable number.

395166852 is an abundant number, since it is smaller than the sum of its proper divisors (603727226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395166852 is a wasteful number, since it uses less digits than its factorization.

395166852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976867 (or 10976862 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 395166852 is about 19878.8040887776. The cubic root of 395166852 is about 733.8266883115.

The spelling of 395166852 in words is "three hundred ninety-five million, one hundred sixty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 10976857 21953714 32930571 43907428 65861142 98791713 131722284 197583426 395166852