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37828331 is a prime number
BaseRepresentation
bin1001000001001…
…1011011101011
32122011212201022
42100103123223
534141001311
63430443055
7636351452
oct220233353
978155638
1037828331
111a397a92
121080348b
137ab6238
145049b99
1534c35db
hex24136eb

37828331 has 2 divisors, whose sum is σ = 37828332. Its totient is φ = 37828330.

The previous prime is 37828313. The next prime is 37828367. The reversal of 37828331 is 13382873.

37828331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (37828313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37828331 is a prime.

It is a super-2 number, since 2×378283312 = 2861965252491122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 37828291 and 37828300.

It is not a weakly prime, because it can be changed into another prime (37828391) 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, 18914165 + 18914166.

It is an arithmetic number, because the mean of its divisors is an integer number (18914166).

Almost surely, 237828331 is an apocalyptic number.

37828331 is a deficient number, since it is larger than the sum of its proper divisors (1).

37828331 is an equidigital number, since it uses as much as digits as its factorization.

37828331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 37828331 is about 6150.4740467707. The cubic root of 37828331 is about 335.6905071261.

The spelling of 37828331 in words is "thirty-seven million, eight hundred twenty-eight thousand, three hundred thirty-one".