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41726401 is a prime number
BaseRepresentation
bin1001111100101…
…1000111000001
32220111220212021
42133023013001
541140221101
64050201441
71014445213
oct237130701
986456767
1041726401
112160a732
1211b83281
13884c5a2
1457825b3
1539e35a1
hex27cb1c1

41726401 has 2 divisors, whose sum is σ = 41726402. Its totient is φ = 41726400.

The previous prime is 41726387. The next prime is 41726431. The reversal of 41726401 is 10462714.

41726401 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., 37503376 + 4223025 = 6124^2 + 2055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41726401 is a prime.

It is not a weakly prime, because it can be changed into another prime (41726431) 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, 20863200 + 20863201.

It is an arithmetic number, because the mean of its divisors is an integer number (20863201).

Almost surely, 241726401 is an apocalyptic number.

It is an amenable number.

41726401 is a deficient number, since it is larger than the sum of its proper divisors (1).

41726401 is an equidigital number, since it uses as much as digits as its factorization.

41726401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 41726401 is about 6459.5975880855. The cubic root of 41726401 is about 346.8462279628.

The spelling of 41726401 in words is "forty-one million, seven hundred twenty-six thousand, four hundred one".