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37826081 is a prime number
BaseRepresentation
bin1001000001001…
…0111000100001
32122011202121222
42100102320201
534140413311
63430424425
7636342056
oct220227041
978152558
1037826081
111a396327
1210802115
137ab51c7
14504902d
1534c2adb
hex2412e21

37826081 has 2 divisors, whose sum is σ = 37826082. Its totient is φ = 37826080.

The previous prime is 37826077. The next prime is 37826083. The reversal of 37826081 is 18062873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24750625 + 13075456 = 4975^2 + 3616^2 .

It is a cyclic number.

It is not a de Polignac number, because 37826081 - 22 = 37826077 is a prime.

It is a super-2 number, since 2×378260812 = 2861624807637122, which contains 22 as substring.

Together with 37826083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37826083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18913040 + 18913041.

It is an arithmetic number, because the mean of its divisors is an integer number (18913041).

Almost surely, 237826081 is an apocalyptic number.

It is an amenable number.

37826081 is a deficient number, since it is larger than the sum of its proper divisors (1).

37826081 is an equidigital number, since it uses as much as digits as its factorization.

37826081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 37826081 is about 6150.2911313205. The cubic root of 37826081 is about 335.6838514565.

The spelling of 37826081 in words is "thirty-seven million, eight hundred twenty-six thousand, eighty-one".