Search a number
-
+
57312071 is a prime number
BaseRepresentation
bin1101101010100…
…0001101000111
310222211202101022
43122220031013
5104132441241
65404221355
71264100405
oct332501507
9128752338
1057312071
112a395453
121723a85b
13bb4868b
14787c475
15507154b
hex36a8347

57312071 has 2 divisors, whose sum is σ = 57312072. Its totient is φ = 57312070.

The previous prime is 57312061. The next prime is 57312097. The reversal of 57312071 is 17021375.

57312071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (57312097) can be obtained adding 57312071 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 57312071 - 222 = 53117767 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57312071.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57312061) 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 as a sum of consecutive naturals, namely, 28656035 + 28656036.

It is an arithmetic number, because the mean of its divisors is an integer number (28656036).

Almost surely, 257312071 is an apocalyptic number.

57312071 is a deficient number, since it is larger than the sum of its proper divisors (1).

57312071 is an equidigital number, since it uses as much as digits as its factorization.

57312071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 57312071 is about 7570.4736311541. The cubic root of 57312071 is about 385.5511777077.

The spelling of 57312071 in words is "fifty-seven million, three hundred twelve thousand, seventy-one".