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406663641 = 322414332
BaseRepresentation
bin11000001111010…
…011000111011001
31001100012122122100
4120033103013121
51313101214031
6104204114013
713035404166
oct3017230731
91040178570
10406663641
1119960745a
12b4235909
1366335697
143c01b06d
1525a7cde6
hex183d31d9

406663641 has 18 divisors (see below), whose sum is σ = 591205758. Its totient is φ = 269360640.

The previous prime is 406663619. The next prime is 406663643. The reversal of 406663641 is 146366604.

It can be written as a sum of positive squares in 3 ways, for example, as 2653641 + 404010000 = 1629^2 + 20100^2 .

It is not a de Polignac number, because 406663641 - 210 = 406662617 is a prime.

It is a super-2 number, since 2×4066636412 = 330750633822753762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406663596 and 406663605.

It is not an unprimeable number, because it can be changed into a prime (406663643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 938961 + ... + 939393.

Almost surely, 2406663641 is an apocalyptic number.

It is an amenable number.

406663641 is a deficient number, since it is larger than the sum of its proper divisors (184542117).

406663641 is an equidigital number, since it uses as much as digits as its factorization.

406663641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 406663641 is about 20165.9029304418. The cubic root of 406663641 is about 740.8752979572.

The spelling of 406663641 in words is "four hundred six million, six hundred sixty-three thousand, six hundred forty-one".

Divisors: 1 3 9 241 433 723 1299 2169 3897 104353 187489 313059 562467 939177 1687401 45184849 135554547 406663641