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37814041 is a prime number
BaseRepresentation
bin1001000000111…
…1111100011001
32122011011010001
42100033330121
534140022131
63430253001
7636262006
oct220177431
978134101
1037814041
111a388281
12107b7161
137aac895
1450448ad
1534be261
hex240ff19

37814041 has 2 divisors, whose sum is σ = 37814042. Its totient is φ = 37814040.

The previous prime is 37814011. The next prime is 37814107. The reversal of 37814041 is 14041873.

37814041 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., 28933641 + 8880400 = 5379^2 + 2980^2 .

It is a cyclic number.

It is not a de Polignac number, because 37814041 - 211 = 37811993 is a prime.

It is not a weakly prime, because it can be changed into another prime (37814011) 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, 18907020 + 18907021.

It is an arithmetic number, because the mean of its divisors is an integer number (18907021).

Almost surely, 237814041 is an apocalyptic number.

It is an amenable number.

37814041 is a deficient number, since it is larger than the sum of its proper divisors (1).

37814041 is an equidigital number, since it uses as much as digits as its factorization.

37814041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 37814041 is about 6149.3122379661. The cubic root of 37814041 is about 335.6482317434.

The spelling of 37814041 in words is "thirty-seven million, eight hundred fourteen thousand, forty-one".