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4084615921 = 7928092
BaseRepresentation
bin1111001101110110…
…0100101011110001
3101112122220222200011
43303131210223301
531331130202141
61513151254521
7203135443141
oct36335445361
911478828604
104084615921
111806728441
1295bb1a441
13501309ac9
142aa69c921
1518d8db881
hexf3764af1

4084615921 has 9 divisors (see below), whose sum is σ = 4142094411. Its totient is φ = 4027926864.

The previous prime is 4084615907. The next prime is 4084615933. The reversal of 4084615921 is 1295164804.

The square root of 4084615921 is 63911.

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., 3595321521 + 489294400 = 59961^2 + 22120^2 .

It is not a de Polignac number, because 4084615921 - 213 = 4084607729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4084615901) 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 8 ways as a sum of consecutive naturals, for example, 5048565 + ... + 5049373.

Almost surely, 24084615921 is an apocalyptic number.

4084615921 is the 63911-st square number.

4084615921 is the 31956-th centered octagonal number.

It is an amenable number.

4084615921 is a deficient number, since it is larger than the sum of its proper divisors (57478490).

4084615921 is an frugal number, since it uses more digits than its factorization.

4084615921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The cubic root of 4084615921 is about 1598.5163226606.

The spelling of 4084615921 in words is "four billion, eighty-four million, six hundred fifteen thousand, nine hundred twenty-one".

Divisors: 1 79 809 6241 63911 654481 5048969 51703999 4084615921