Search a number
-
+
42536381 is a prime number
BaseRepresentation
bin1010001001000…
…0110110111101
32222001001221112
42202100312331
541342131011
64115411405
71024360526
oct242206675
988031845
1042536381
1122013238
12122b3b65
138a74174
14591384d
153b0358b
hex2890dbd

42536381 has 2 divisors, whose sum is σ = 42536382. Its totient is φ = 42536380.

The previous prime is 42536353. The next prime is 42536441. The reversal of 42536381 is 18363524.

42536381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35593156 + 6943225 = 5966^2 + 2635^2 .

It is a cyclic number.

It is not a de Polignac number, because 42536381 - 222 = 38342077 is a prime.

It is a super-2 number, since 2×425363812 = 3618687417154322, which contains 22 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 (42536321) 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, 21268190 + 21268191.

It is an arithmetic number, because the mean of its divisors is an integer number (21268191).

Almost surely, 242536381 is an apocalyptic number.

It is an amenable number.

42536381 is a deficient number, since it is larger than the sum of its proper divisors (1).

42536381 is an equidigital number, since it uses as much as digits as its factorization.

42536381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 32.

The square root of 42536381 is about 6521.9921036444. The cubic root of 42536381 is about 349.0761513397.

The spelling of 42536381 in words is "forty-two million, five hundred thirty-six thousand, three hundred eighty-one".