Search a number
-
+
45332561 is a prime number
BaseRepresentation
bin1010110011101…
…1100001010001
310011022010120202
42230323201101
543101120221
64255344545
71060214621
oct254734121
9104263522
1045332561
112365302a
1213222155
139512b01
146040881
153ea6d0b
hex2b3b851

45332561 has 2 divisors, whose sum is σ = 45332562. Its totient is φ = 45332560.

The previous prime is 45332519. The next prime is 45332579. The reversal of 45332561 is 16523354.

45332561 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., 44302336 + 1030225 = 6656^2 + 1015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45332561 is a prime.

It is not a weakly prime, because it can be changed into another prime (45335561) 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, 22666280 + 22666281.

It is an arithmetic number, because the mean of its divisors is an integer number (22666281).

Almost surely, 245332561 is an apocalyptic number.

It is an amenable number.

45332561 is a deficient number, since it is larger than the sum of its proper divisors (1).

45332561 is an equidigital number, since it uses as much as digits as its factorization.

45332561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10800, while the sum is 29.

The square root of 45332561 is about 6732.9459377007. The cubic root of 45332561 is about 356.5633911641.

The spelling of 45332561 in words is "forty-five million, three hundred thirty-two thousand, five hundred sixty-one".