Search a number
-
+
45777133 is a prime number
BaseRepresentation
bin1010111010100…
…0000011101101
310012010201102101
42232220003231
543204332013
64313055101
71064046013
oct256500355
9105121371
1045777133
1123927046
12133b7491
13963a27c
1461188b3
1540438dd
hex2ba80ed

45777133 has 2 divisors, whose sum is σ = 45777134. Its totient is φ = 45777132.

The previous prime is 45777119. The next prime is 45777143. The reversal of 45777133 is 33177754.

45777133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36024004 + 9753129 = 6002^2 + 3123^2 .

It is a cyclic number.

It is not a de Polignac number, because 45777133 - 25 = 45777101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45777092 and 45777101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45777143) 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, 22888566 + 22888567.

It is an arithmetic number, because the mean of its divisors is an integer number (22888567).

Almost surely, 245777133 is an apocalyptic number.

It is an amenable number.

45777133 is a deficient number, since it is larger than the sum of its proper divisors (1).

45777133 is an equidigital number, since it uses as much as digits as its factorization.

45777133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61740, while the sum is 37.

The square root of 45777133 is about 6765.8800610120. The cubic root of 45777133 is about 357.7251956218.

The spelling of 45777133 in words is "forty-five million, seven hundred seventy-seven thousand, one hundred thirty-three".