Search a number
-
+
64042729 is a prime number
BaseRepresentation
bin1111010001001…
…1011011101001
311110111201002221
43310103123221
5112343331404
610204354041
71405232332
oct364233351
9143451087
1064042729
1133172283
1219545921
131036410a
148711289
155950954
hex3d136e9

64042729 has 2 divisors, whose sum is σ = 64042730. Its totient is φ = 64042728.

The previous prime is 64042703. The next prime is 64042739. The reversal of 64042729 is 92724046.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 21114025 = 6552^2 + 4595^2 .

It is a cyclic number.

It is not a de Polignac number, because 64042729 - 215 = 64009961 is a prime.

It is a super-2 number, since 2×640427292 = 8202942275534882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64042694 and 64042703.

It is not a weakly prime, because it can be changed into another prime (64042739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32021364 + 32021365.

It is an arithmetic number, because the mean of its divisors is an integer number (32021365).

Almost surely, 264042729 is an apocalyptic number.

It is an amenable number.

64042729 is a deficient number, since it is larger than the sum of its proper divisors (1).

64042729 is an equidigital number, since it uses as much as digits as its factorization.

64042729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 64042729 is about 8002.6701169047. The cubic root of 64042729 is about 400.0889989465.

The spelling of 64042729 in words is "sixty-four million, forty-two thousand, seven hundred twenty-nine".