Search a number
-
+
45616757 is a prime number
BaseRepresentation
bin1010111000000…
…0111001110101
310011211120102112
42232000321311
543134214012
64305420405
71062510314
oct256007165
9104746375
1045616757
11238275aa
121333a705
1395b2284
1460b627b
154011122
hex2b80e75

45616757 has 2 divisors, whose sum is σ = 45616758. Its totient is φ = 45616756.

The previous prime is 45616709. The next prime is 45616783. The reversal of 45616757 is 75761654.

45616757 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., 45508516 + 108241 = 6746^2 + 329^2 .

It is a cyclic number.

It is not a de Polignac number, because 45616757 - 26 = 45616693 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45616057) 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, 22808378 + 22808379.

It is an arithmetic number, because the mean of its divisors is an integer number (22808379).

Almost surely, 245616757 is an apocalyptic number.

It is an amenable number.

45616757 is a deficient number, since it is larger than the sum of its proper divisors (1).

45616757 is an equidigital number, since it uses as much as digits as its factorization.

45616757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 176400, while the sum is 41.

The square root of 45616757 is about 6754.0178412557. The cubic root of 45616757 is about 357.3069543123.

The spelling of 45616757 in words is "forty-five million, six hundred sixteen thousand, seven hundred fifty-seven".