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42305729 is a prime number
BaseRepresentation
bin1010000101100…
…0100011000001
32221121100112212
42201120203001
541312240404
64110431505
71022410214
oct241304301
987540485
1042305729
1121975a14
1212202595
1389c319b
14589377b
153aaa06e
hex28588c1

42305729 has 2 divisors, whose sum is σ = 42305730. Its totient is φ = 42305728.

The previous prime is 42305663. The next prime is 42305749. The reversal of 42305729 is 92750324.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39250225 + 3055504 = 6265^2 + 1748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42305729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42305695 and 42305704.

It is not a weakly prime, because it can be changed into another prime (42305749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21152864 + 21152865.

It is an arithmetic number, because the mean of its divisors is an integer number (21152865).

Almost surely, 242305729 is an apocalyptic number.

It is an amenable number.

42305729 is a deficient number, since it is larger than the sum of its proper divisors (1).

42305729 is an equidigital number, since it uses as much as digits as its factorization.

42305729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 42305729 is about 6504.2854334662. The cubic root of 42305729 is about 348.4440564861. Note that the first 3 decimals are identical.

It can be divided in two parts, 42305 and 729, that added together give a palindrome (43034).

The spelling of 42305729 in words is "forty-two million, three hundred five thousand, seven hundred twenty-nine".