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4661281 = 1721272
BaseRepresentation
bin10001110010000000100001
322202211002001
4101302000201
52143130111
6243524001
754422512
oct21620041
98684061
104661281
1126a40a9
121689601
13c72871
14894a09
156211c1
hex472021

4661281 has 9 divisors (see below), whose sum is σ = 4990899. Its totient is φ = 4352544.

The previous prime is 4661263. The next prime is 4661291. The reversal of 4661281 is 1821664.

The square root of 4661281 is 2159.

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., 3629025 + 1032256 = 1905^2 + 1016^2 .

It is not a de Polignac number, because 4661281 - 29 = 4660769 is a prime.

It is a super-2 number, since 2×46612812 = 43455081121922, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2304) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4661231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36640 + ... + 36766.

Almost surely, 24661281 is an apocalyptic number.

4661281 is the 2159-th square number.

4661281 is the 1080-th centered octagonal number.

It is an amenable number.

4661281 is a deficient number, since it is larger than the sum of its proper divisors (329618).

4661281 is an equidigital number, since it uses as much as digits as its factorization.

4661281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The cubic root of 4661281 is about 167.0456208206.

Multiplying 4661281 by its product of digits (2304), we get a square (10739591424 = 1036322).

The spelling of 4661281 in words is "four million, six hundred sixty-one thousand, two hundred eighty-one".

Divisors: 1 17 127 289 2159 16129 36703 274193 4661281