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2643457 is a prime number
BaseRepresentation
bin1010000101011000000001
311222022010211
422011120001
51134042312
6132354121
731316605
oct12053001
94868124
102643457
111546083
12a75941
1371729b
144cb505
153733a7
hex285601

2643457 has 2 divisors, whose sum is σ = 2643458. Its totient is φ = 2643456.

The previous prime is 2643439. The next prime is 2643461. The reversal of 2643457 is 7543462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 638401 = 1416^2 + 799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2643457 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 63 + 44 + 313 + 410 + 5 + 72 .

It is not a weakly prime, because it can be changed into another prime (2643427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1321728 + 1321729.

It is an arithmetic number, because the mean of its divisors is an integer number (1321729).

22643457 is an apocalyptic number.

It is an amenable number.

2643457 is a deficient number, since it is larger than the sum of its proper divisors (1).

2643457 is an equidigital number, since it uses as much as digits as its factorization.

2643457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 31.

The square root of 2643457 is about 1625.8711511064. The cubic root of 2643457 is about 138.2687648862.

It can be divided in two parts, 264 and 3457, that added together give a square (3721 = 612).

The spelling of 2643457 in words is "two million, six hundred forty-three thousand, four hundred fifty-seven".