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47000819 is a prime number
BaseRepresentation
bin1011001101001…
…0110011110011
310021102220000002
42303102303303
544013011234
64355220215
71110333425
oct263226363
9107386002
1047000819
1124592458
12138a766b
139978248
146356815
1541d627e
hex2cd2cf3

47000819 has 2 divisors, whose sum is σ = 47000820. Its totient is φ = 47000818.

The previous prime is 47000797. The next prime is 47000827. The reversal of 47000819 is 91800074.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 47000819 - 212 = 46996723 is a prime.

It is a super-2 number, since 2×470008192 = 4418153973341522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

47000819 is a modest number, since divided by 819 gives 47 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 47000791 and 47000800.

It is not a weakly prime, because it can be changed into another prime (47000839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23500409 + 23500410.

It is an arithmetic number, because the mean of its divisors is an integer number (23500410).

Almost surely, 247000819 is an apocalyptic number.

47000819 is a deficient number, since it is larger than the sum of its proper divisors (1).

47000819 is an equidigital number, since it uses as much as digits as its factorization.

47000819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 47000819 is about 6855.7143318549. The cubic root of 47000819 is about 360.8847041922.

The spelling of 47000819 in words is "forty-seven million, eight hundred nineteen", and thus it is an aban number.