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195816852 = 223471147167
BaseRepresentation
bin10111010101111…
…10110110010100
3111122110112020000
423222332312110
5400112114402
631233011300
74565262420
oct1352766624
9448415200
10195816852
11a0596110
12556b3b30
133175127a
141c013b80
15122cec1c
hexbabed94

195816852 has 240 divisors, whose sum is σ = 655699968. Its totient is φ = 49481280.

The previous prime is 195816851. The next prime is 195816853. The reversal of 195816852 is 258618591.

It is a happy number.

195816852 is a `hidden beast` number, since 1 + 9 + 581 + 68 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (195816851) and next prime (195816853).

It is a junction number, because it is equal to n+sod(n) for n = 195816798 and 195816807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195816851) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1172473 + ... + 1172639.

Almost surely, 2195816852 is an apocalyptic number.

195816852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195816852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327849984).

195816852 is an abundant number, since it is smaller than the sum of its proper divisors (459883116).

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

195816852 is a wasteful number, since it uses less digits than its factorization.

195816852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 195816852 is about 13993.4574712613. The cubic root of 195816852 is about 580.6975871266.

The spelling of 195816852 in words is "one hundred ninety-five million, eight hundred sixteen thousand, eight hundred fifty-two".