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4212442395 = 33574457611
BaseRepresentation
bin1111101100010100…
…1100010100011011
3101212120110020122000
43323011030110123
532111341124040
61533555132043
7206250112110
oct37305142433
911776406560
104212442395
1118718a5357
129968a4023
13521944185
142bd654907
15199c3b130
hexfb14c51b

4212442395 has 32 divisors (see below), whose sum is σ = 8558615040. Its totient is φ = 1925687520.

The previous prime is 4212442391. The next prime is 4212442417. The reversal of 4212442395 is 5932442124.

It is a happy number.

4212442395 is a `hidden beast` number, since 4 + 21 + 244 + 2 + 395 = 666.

It is not a de Polignac number, because 4212442395 - 22 = 4212442391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4212442391) 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 31 ways as a sum of consecutive naturals, for example, 2227861 + ... + 2229750.

It is an arithmetic number, because the mean of its divisors is an integer number (267456720).

Almost surely, 24212442395 is an apocalyptic number.

4212442395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4212442395 is an abundant number, since it is smaller than the sum of its proper divisors (4346172645).

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

4212442395 is a wasteful number, since it uses less digits than its factorization.

4212442395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457632 (or 4457626 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4212442395 is about 64903.3311548799. The cubic root of 4212442395 is about 1615.0203226331.

The spelling of 4212442395 in words is "four billion, two hundred twelve million, four hundred forty-two thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 4457611 13372833 22288055 31203277 40118499 66864165 93609831 120355497 156016385 200592495 280829493 468049155 601777485 842488479 1404147465 4212442395