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47346401 is a prime number
BaseRepresentation
bin1011010010011…
…1001011100001
310022002110001102
42310213023201
544110041101
64410444145
71113303104
oct264471341
9108073042
1047346401
11247a9063
1213a33655
139a6962b
14640673b
15425386b
hex2d272e1

47346401 has 2 divisors, whose sum is σ = 47346402. Its totient is φ = 47346400.

The previous prime is 47346391. The next prime is 47346419. The reversal of 47346401 is 10464374.

47346401 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., 23775376 + 23571025 = 4876^2 + 4855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47346401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47346451) 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, 23673200 + 23673201.

It is an arithmetic number, because the mean of its divisors is an integer number (23673201).

Almost surely, 247346401 is an apocalyptic number.

It is an amenable number.

47346401 is a deficient number, since it is larger than the sum of its proper divisors (1).

47346401 is an equidigital number, since it uses as much as digits as its factorization.

47346401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 47346401 is about 6880.8721104232. The cubic root of 47346401 is about 361.7670351754.

The spelling of 47346401 in words is "forty-seven million, three hundred forty-six thousand, four hundred one".