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5760324409 = 72636118481
BaseRepresentation
bin1010101110101011…
…11001001100111001
3112212110001210120111
411113111321030321
543244120340114
62351331424321
7262513643500
oct52725711471
915773053514
105760324409
112496609a94
1211491550a1
1370a52c7a8
143c905d837
1523aa92bc4
hex157579339

5760324409 has 12 divisors (see below), whose sum is σ = 6702201588. Its totient is φ = 4936377600.

The previous prime is 5760324389. The next prime is 5760324443. The reversal of 5760324409 is 9044230675.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3687525625 + 2072798784 = 60725^2 + 45528^2 .

It is not a de Polignac number, because 5760324409 - 25 = 5760324377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5760324209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302449 + ... + 320929.

It is an arithmetic number, because the mean of its divisors is an integer number (558516799).

Almost surely, 25760324409 is an apocalyptic number.

It is an amenable number.

5760324409 is a deficient number, since it is larger than the sum of its proper divisors (941877179).

5760324409 is a wasteful number, since it uses less digits than its factorization.

5760324409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24856 (or 24849 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 5760324409 is about 75896.8010458939. The cubic root of 5760324409 is about 1792.5955509548.

The spelling of 5760324409 in words is "five billion, seven hundred sixty million, three hundred twenty-four thousand, four hundred nine".

Divisors: 1 7 49 6361 18481 44527 129367 311689 905569 117557641 822903487 5760324409