Search a number
-
+
45371077 is a prime number
BaseRepresentation
bin1010110100010…
…0111011000101
310011101002102021
42231010323011
543103333302
64300243141
71060435123
oct255047305
9104332367
1045371077
1123679a64
12132404b1
1395274bb
146050913
153eb3437
hex2b44ec5

45371077 has 2 divisors, whose sum is σ = 45371078. Its totient is φ = 45371076.

The previous prime is 45371041. The next prime is 45371087. The reversal of 45371077 is 77017354.

45371077 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., 37564641 + 7806436 = 6129^2 + 2794^2 .

It is a cyclic number.

It is not a de Polignac number, because 45371077 - 211 = 45369029 is a prime.

It is equal to p2739364 and since 45371077 and 2739364 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45371017) 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, 22685538 + 22685539.

It is an arithmetic number, because the mean of its divisors is an integer number (22685539).

Almost surely, 245371077 is an apocalyptic number.

It is an amenable number.

45371077 is a deficient number, since it is larger than the sum of its proper divisors (1).

45371077 is an equidigital number, since it uses as much as digits as its factorization.

45371077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20580, while the sum is 34.

The square root of 45371077 is about 6735.8055939880. The cubic root of 45371077 is about 356.6643451485.

The spelling of 45371077 in words is "forty-five million, three hundred seventy-one thousand, seventy-seven".