Search a number
-
+
57400813 is a prime number
BaseRepresentation
bin1101101011110…
…1110111101101
311000000021010001
43122331313231
5104143311223
65410144301
71264620211
oct332756755
9130007101
1057400813
112a446098
1217282091
13bb79ba2
1478a2941
15508c9ad
hex36bdded

57400813 has 2 divisors, whose sum is σ = 57400814. Its totient is φ = 57400812.

The previous prime is 57400807. The next prime is 57400841. The reversal of 57400813 is 31800475.

It is an a-pointer prime, because the next prime (57400841) can be obtained adding 57400813 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40729924 + 16670889 = 6382^2 + 4083^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57400813 is a prime.

57400813 is a modest number, since divided by 813 gives 574 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57400853) 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 as a sum of consecutive naturals, namely, 28700406 + 28700407.

It is an arithmetic number, because the mean of its divisors is an integer number (28700407).

Almost surely, 257400813 is an apocalyptic number.

It is an amenable number.

57400813 is a deficient number, since it is larger than the sum of its proper divisors (1).

57400813 is an equidigital number, since it uses as much as digits as its factorization.

57400813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 57400813 is about 7576.3324240690. The cubic root of 57400813 is about 385.7500708781.

The spelling of 57400813 in words is "fifty-seven million, four hundred thousand, eight hundred thirteen".