Search a number
-
+
57768067 = 723113571
BaseRepresentation
bin1101110001011…
…1100010000011
311000200220220001
43130113202003
5104242034232
65422100431
71301010010
oct334274203
9130626801
1057768067
112a677005
121741a717
13bc780b6
14795a707
1551116e7
hex3717883

57768067 has 8 divisors (see below), whose sum is σ = 66067712. Its totient is φ = 49480200.

The previous prime is 57768043. The next prime is 57768071. The reversal of 57768067 is 76086775.

57768067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 57768067 - 211 = 57766019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57768017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14392 + ... + 17962.

It is an arithmetic number, because the mean of its divisors is an integer number (8258464).

Almost surely, 257768067 is an apocalyptic number.

57768067 is a deficient number, since it is larger than the sum of its proper divisors (8299645).

57768067 is a wasteful number, since it uses less digits than its factorization.

57768067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889.

The product of its (nonzero) digits is 493920, while the sum is 46.

The square root of 57768067 is about 7600.5307051547. The cubic root of 57768067 is about 386.5710069379.

It can be divided in two parts, 577 and 68067, that added together give a square (68644 = 2622).

The spelling of 57768067 in words is "fifty-seven million, seven hundred sixty-eight thousand, sixty-seven".

Divisors: 1 7 2311 3571 16177 24997 8252581 57768067