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12895281 = 3672192
BaseRepresentation
bin110001001100…
…010000110001
3220021011000000
4301030100301
511300122111
61140220213
7214415400
oct61142061
926234000
1012895281
117308463
12439a669
132896659
1419d9637
1511eac56
hexc4c431

12895281 has 63 divisors (see below), whose sum is σ = 23736681. Its totient is φ = 6980904.

The previous prime is 12895261. The next prime is 12895283. The reversal of 12895281 is 18259821.

The square root of 12895281 is 3591.

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

12895281 is a `hidden beast` number, since 128 + 9 + 528 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 12895281 - 211 = 12893233 is a prime.

It is a super-2 number, since 2×128952812 = 332576544137922, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12895283) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 678690 + ... + 678708.

Almost surely, 212895281 is an apocalyptic number.

12895281 is the 3591-st square number.

12895281 is the 1796-th centered octagonal number.

It is an amenable number.

12895281 is a deficient number, since it is larger than the sum of its proper divisors (10841400).

12895281 is an frugal number, since it uses more digits than its factorization.

12895281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The cubic root of 12895281 is about 234.5004084050.

Multiplying 12895281 by its sum of digits (36), we get a square (464230116 = 215462).

The spelling of 12895281 in words is "twelve million, eight hundred ninety-five thousand, two hundred eighty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 171 189 243 361 399 441 513 567 729 931 1083 1197 1323 1539 1701 2527 2793 3249 3591 3969 4617 5103 7581 8379 9747 10773 11907 13851 17689 22743 25137 29241 32319 35721 53067 68229 75411 87723 96957 159201 204687 226233 263169 477603 614061 678699 1432809 1842183 4298427 12895281