Search a number
-
+
42034037 is a prime number
BaseRepresentation
bin1010000001011…
…0001101110101
32221002112212012
42200112031311
541230042122
64100534005
71020166133
oct240261565
987075765
1042034037
11217aa881
12120b1305
138929616
145822753
153a547e2
hex2816375

42034037 has 2 divisors, whose sum is σ = 42034038. Its totient is φ = 42034036.

The previous prime is 42034007. The next prime is 42034039. The reversal of 42034037 is 73043024.

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., 35688676 + 6345361 = 5974^2 + 2519^2 .

It is a cyclic number.

It is not a de Polignac number, because 42034037 - 28 = 42033781 is a prime.

Together with 42034039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42034039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21017018 + 21017019.

It is an arithmetic number, because the mean of its divisors is an integer number (21017019).

Almost surely, 242034037 is an apocalyptic number.

It is an amenable number.

42034037 is a deficient number, since it is larger than the sum of its proper divisors (1).

42034037 is an equidigital number, since it uses as much as digits as its factorization.

42034037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 42034037 is about 6483.3661781516. The cubic root of 42034037 is about 347.6965387527.

The spelling of 42034037 in words is "forty-two million, thirty-four thousand, thirty-seven".