Search a number
-
+
73828589 is a prime number
BaseRepresentation
bin1000110011010…
…00100011101101
312010220212210012
410121220203231
5122400003324
611154223005
71554350462
oct431504355
9163825705
1073828589
113874656a
1220884a65
13123ac373
149b3b669
15673520e
hex46688ed

73828589 has 2 divisors, whose sum is σ = 73828590. Its totient is φ = 73828588.

The previous prime is 73828561. The next prime is 73828607. The reversal of 73828589 is 98582837.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49984900 + 23843689 = 7070^2 + 4883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73828589 is a prime.

It is a super-3 number, since 3×738285893 (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73824589) 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, 36914294 + 36914295.

It is an arithmetic number, because the mean of its divisors is an integer number (36914295).

Almost surely, 273828589 is an apocalyptic number.

It is an amenable number.

73828589 is a deficient number, since it is larger than the sum of its proper divisors (1).

73828589 is an equidigital number, since it uses as much as digits as its factorization.

73828589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 967680, while the sum is 50.

The square root of 73828589 is about 8592.3564288267. The cubic root of 73828589 is about 419.5092321302.

The spelling of 73828589 in words is "seventy-three million, eight hundred twenty-eight thousand, five hundred eighty-nine".