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2628331 is a prime number
BaseRepresentation
bin1010000001101011101011
311221112101121
422001223223
51133101311
6132200111
731224526
oct12015353
94845347
102628331
111535782
12a69037
13710434
144c5bbd
1536db71
hex281aeb

2628331 has 2 divisors, whose sum is σ = 2628332. Its totient is φ = 2628330.

The previous prime is 2628277. The next prime is 2628341. The reversal of 2628331 is 1338262.

2628331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2628331 - 213 = 2620139 is a prime.

It is a super-2 number, since 2×26283312 = 13816247691122, which contains 22 as substring.

It is a d-powerful number, because it can be written as 25 + 63 + 219 + 87 + 34 + 38 + 1 .

It is a junction number, because it is equal to n+sod(n) for n = 2628296 and 2628305.

It is not a weakly prime, because it can be changed into another prime (2628341) 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, 1314165 + 1314166.

It is an arithmetic number, because the mean of its divisors is an integer number (1314166).

22628331 is an apocalyptic number.

2628331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2628331 is an equidigital number, since it uses as much as digits as its factorization.

2628331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

The square root of 2628331 is about 1621.2128176153. The cubic root of 2628331 is about 138.0045332124.

The spelling of 2628331 in words is "two million, six hundred twenty-eight thousand, three hundred thirty-one".