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47920129 is a prime number
BaseRepresentation
bin1011011011001…
…1010000000001
310100011121001121
42312303100001
544231421004
64431032241
71121212555
oct266632001
9110147047
1047920129
1125060114
121406b681
139c0a80a
146515865
154318854
hex2db3401

47920129 has 2 divisors, whose sum is σ = 47920130. Its totient is φ = 47920128.

The previous prime is 47920123. The next prime is 47920153. The reversal of 47920129 is 92102974.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46949904 + 970225 = 6852^2 + 985^2 .

It is a cyclic number.

It is not a de Polignac number, because 47920129 - 23 = 47920121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47920094 and 47920103.

It is not a weakly prime, because it can be changed into another prime (47920121) 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, 23960064 + 23960065.

It is an arithmetic number, because the mean of its divisors is an integer number (23960065).

Almost surely, 247920129 is an apocalyptic number.

It is an amenable number.

47920129 is a deficient number, since it is larger than the sum of its proper divisors (1).

47920129 is an equidigital number, since it uses as much as digits as its factorization.

47920129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 47920129 is about 6922.4366374854. The cubic root of 47920129 is about 363.2224299358. Note that the first 3 decimals are identical.

The spelling of 47920129 in words is "forty-seven million, nine hundred twenty thousand, one hundred twenty-nine".