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247040001 = 32132111453
BaseRepresentation
bin11101011100110…
…00100000000001
3122012211221011200
432232120200001
51001220240001
640302531413
76056543145
oct1656304001
9565757150
10247040001
111174a189a
126a896b69
133c247320
1424b49225
1516a4c086
hexeb98801

247040001 has 12 divisors (see below), whose sum is σ = 384284628. Its totient is φ = 152024544.

The previous prime is 247039963. The next prime is 247040011. The reversal of 247040001 is 100040742.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 163865601 = 9120^2 + 12801^2 .

It is not a de Polignac number, because 247040001 - 29 = 247039489 is a prime.

It is a super-2 number, since 2×2470400012 = 122057524188160002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247040011) 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 11 ways as a sum of consecutive naturals, for example, 1055610 + ... + 1055843.

It is an arithmetic number, because the mean of its divisors is an integer number (32023719).

Almost surely, 2247040001 is an apocalyptic number.

It is an amenable number.

247040001 is a deficient number, since it is larger than the sum of its proper divisors (137244627).

247040001 is a wasteful number, since it uses less digits than its factorization.

247040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111472 (or 2111469 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 247040001 is about 15717.5061953225. The cubic root of 247040001 is about 627.4644041543.

Adding to 247040001 its reverse (100040742), we get a palindrome (347080743).

The spelling of 247040001 in words is "two hundred forty-seven million, forty thousand, one".

Divisors: 1 3 9 13 39 117 2111453 6334359 19003077 27448889 82346667 247040001