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281266441 = 3125412
BaseRepresentation
bin10000110000111…
…100100100001001
3201121020211000121
4100300330210021
51034001011231
643524303241
76653503531
oct2060744411
9647224017
10281266441
11134849705
127a241b21
134636bc61
14294d84c1
1519a5d311
hex10c3c909

281266441 has 9 divisors (see below), whose sum is σ = 291170439. Its totient is φ = 271690200.

The previous prime is 281266439. The next prime is 281266451. The reversal of 281266441 is 144662182.

The square root of 281266441 is 16771.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 111746041 + 169520400 = 10571^2 + 13020^2 .

It is not a de Polignac number, because 281266441 - 21 = 281266439 is a prime.

It is a super-2 number, since 2×2812664412 = 158221621665612962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 281266397 and 281266406.

It is not an unprimeable number, because it can be changed into a prime (281266421) 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 8 ways as a sum of consecutive naturals, for example, 519631 + ... + 520171.

It is an arithmetic number, because the mean of its divisors is an integer number (32352271).

Almost surely, 2281266441 is an apocalyptic number.

281266441 is the 16771-st square number.

281266441 is the 8386-th centered octagonal number.

It is an amenable number.

281266441 is a deficient number, since it is larger than the sum of its proper divisors (9903998).

281266441 is an frugal number, since it uses more digits than its factorization.

281266441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The cubic root of 281266441 is about 655.1981150025.

The spelling of 281266441 in words is "two hundred eighty-one million, two hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 31 541 961 16771 292681 519901 9073111 281266441