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411724681 = 10321972
BaseRepresentation
bin11000100010100…
…110101110001001
31001200201210002021
4120202212232021
51320400142211
6104504404441
713126413334
oct3042465611
91050653067
10411724681
111a1453935
12b5a76721
13673b8194
143c97761b
152622c771
hex188a6b89

411724681 has 9 divisors (see below), whose sum is σ = 417881991. Its totient is φ = 405657672.

The previous prime is 411724673. The next prime is 411724693. The reversal of 411724681 is 186427114.

It is a happy number.

The square root of 411724681 is 20291.

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., 403407225 + 8317456 = 20085^2 + 2884^2 .

It is not a de Polignac number, because 411724681 - 23 = 411724673 is a prime.

It is a super-2 number, since 2×4117246812 = 339034425889103522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411724631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2089875 + ... + 2090071.

Almost surely, 2411724681 is an apocalyptic number.

411724681 is the 20291-st square number.

411724681 is the 10146-th centered octagonal number.

It is an amenable number.

411724681 is a deficient number, since it is larger than the sum of its proper divisors (6157310).

411724681 is an frugal number, since it uses more digits than its factorization.

411724681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The cubic root of 411724681 is about 743.9361004443.

The spelling of 411724681 in words is "four hundred eleven million, seven hundred twenty-four thousand, six hundred eighty-one".

Divisors: 1 103 197 10609 20291 38809 2089973 3997327 411724681