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4295216241 = 366196589
BaseRepresentation
bin1000000000000001…
…11100110001110001
3102002100012121000000
410000000330301301
532244033404431
61550113220213
7211303510221
oct40000746161
912070177000
104295216241
1119045a0598
129ba561669
13535b35c94
142ca640081
151a213b9e6
hex10003cc71

4295216241 has 28 divisors (see below), whose sum is σ = 6545517940. Its totient is φ = 2816506080.

The previous prime is 4295216203. The next prime is 4295216249. The reversal of 4295216241 is 1426125924.

It is a happy number.

4295216241 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 21 + 624 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165868641 + 4129347600 = 12879^2 + 64260^2 .

It is not a de Polignac number, because 4295216241 - 27 = 4295216113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4295216196 and 4295216205.

It is not an unprimeable number, because it can be changed into a prime (4295216249) 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 27 ways as a sum of consecutive naturals, for example, 3826 + ... + 92763.

Almost surely, 24295216241 is an apocalyptic number.

It is an amenable number.

4295216241 is a deficient number, since it is larger than the sum of its proper divisors (2250301699).

4295216241 is an frugal number, since it uses more digits than its factorization.

4295216241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96668 (or 96653 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4295216241 is about 65537.8992721006. The cubic root of 4295216241 is about 1625.5300823401.

The spelling of 4295216241 in words is "four billion, two hundred ninety-five million, two hundred sixteen thousand, two hundred forty-one".

Divisors: 1 3 9 27 61 81 183 243 549 729 1647 4941 14823 44469 96589 289767 869301 2607903 5891929 7823709 17675787 23471127 53027361 70413381 159082083 477246249 1431738747 4295216241