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45956609 is a prime number
BaseRepresentation
bin1010111101001…
…1111000000001
310012110211121122
42233103320001
543231102414
64321002025
71065424166
oct257237001
9105424548
1045956609
1123a39976
1213483315
1396a0b7a
14616406d
15407bb8e
hex2bd3e01

45956609 has 2 divisors, whose sum is σ = 45956610. Its totient is φ = 45956608.

The previous prime is 45956579. The next prime is 45956623. The reversal of 45956609 is 90665954.

45956609 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., 28858384 + 17098225 = 5372^2 + 4135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45956609 is a prime.

It is a super-2 number, since 2×459566092 = 4224019821557762, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45956609.

It is not a weakly prime, because it can be changed into another prime (45952609) 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, 22978304 + 22978305.

It is an arithmetic number, because the mean of its divisors is an integer number (22978305).

Almost surely, 245956609 is an apocalyptic number.

It is an amenable number.

45956609 is a deficient number, since it is larger than the sum of its proper divisors (1).

45956609 is an equidigital number, since it uses as much as digits as its factorization.

45956609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 45956609 is about 6779.1304014601. The cubic root of 45956609 is about 358.1920907679.

The spelling of 45956609 in words is "forty-five million, nine hundred fifty-six thousand, six hundred nine".