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42619037 is a prime number
BaseRepresentation
bin1010001010010…
…1000010011101
32222012021022212
42202211002131
541402302122
64121250205
71025153516
oct242450235
988167285
1042619037
112206a34a
1212333965
138aa2986
145935a0d
153b1cce2
hex28a509d

42619037 has 2 divisors, whose sum is σ = 42619038. Its totient is φ = 42619036.

The previous prime is 42619021. The next prime is 42619039. The reversal of 42619037 is 73091624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24462916 + 18156121 = 4946^2 + 4261^2 .

It is a cyclic number.

It is not a de Polignac number, because 42619037 - 24 = 42619021 is a prime.

Together with 42619039, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2582933 and since 42619037 and 2582933 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 42618994 and 42619012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42619039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21309518 + 21309519.

It is an arithmetic number, because the mean of its divisors is an integer number (21309519).

Almost surely, 242619037 is an apocalyptic number.

It is an amenable number.

42619037 is a deficient number, since it is larger than the sum of its proper divisors (1).

42619037 is an equidigital number, since it uses as much as digits as its factorization.

42619037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 42619037 is about 6528.3257424856. The cubic root of 42619037 is about 349.3021113986.

The spelling of 42619037 in words is "forty-two million, six hundred nineteen thousand, thirty-seven".