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195834912 = 25371329773
BaseRepresentation
bin10111010110000…
…11010000100000
3111122111102222220
423223003100200
5400113204122
631233231040
74565366160
oct1353032040
9448442886
10195834912
11a05a8739
1255702480
1331759560
141c01a5a0
15122d525c
hexbac3420

195834912 has 192 divisors, whose sum is σ = 655361280. Its totient is φ = 49803264.

The previous prime is 195834911. The next prime is 195834923. The reversal of 195834912 is 219438591.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (195834911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252958 + ... + 253730.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2195834912 is an apocalyptic number.

195834912 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 195834912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327680640).

195834912 is an abundant number, since it is smaller than the sum of its proper divisors (459526368).

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

195834912 is a wasteful number, since it uses less digits than its factorization.

195834912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 195834912 is about 13994.1027579477. The cubic root of 195834912 is about 580.7154389712.

The spelling of 195834912 in words is "one hundred ninety-five million, eight hundred thirty-four thousand, nine hundred twelve".