Search a number
-
+
4057778593 = 11973802979
BaseRepresentation
bin1111000111011100…
…1100100110100001
3101110210102111210001
43301313030212201
531302242403333
61510352140001
7202361356201
oct36167144641
911423374701
104057778593
1117a2568130
12952b37601
134c88a152b
142a6cb4401
1518b389b7d
hexf1dcc9a1

4057778593 has 8 divisors (see below), whose sum is σ = 4472304480. Its totient is φ = 3650858880.

The previous prime is 4057778531. The next prime is 4057778597. The reversal of 4057778593 is 3958777504.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4057778593 - 217 = 4057647521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4057778597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900423 + ... + 1902556.

It is an arithmetic number, because the mean of its divisors is an integer number (559038060).

Almost surely, 24057778593 is an apocalyptic number.

It is an amenable number.

4057778593 is a deficient number, since it is larger than the sum of its proper divisors (414525887).

4057778593 is a wasteful number, since it uses less digits than its factorization.

4057778593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803087.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The square root of 4057778593 is about 63700.6953886690. The cubic root of 4057778593 is about 1595.0076935456.

The spelling of 4057778593 in words is "four billion, fifty-seven million, seven hundred seventy-eight thousand, five hundred ninety-three".

Divisors: 1 11 97 1067 3802979 41832769 368888963 4057778593