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47002129 is a prime number
BaseRepresentation
bin1011001101001…
…1001000010001
310021102221210121
42303103020101
544013032004
64355230241
71110340306
oct263231021
9107387717
1047002129
1124593439
12138a8381
139978a15
1463570ad
1541d6854
hex2cd3211

47002129 has 2 divisors, whose sum is σ = 47002130. Its totient is φ = 47002128.

The previous prime is 47002117. The next prime is 47002141. The reversal of 47002129 is 92120074.

It is a balanced prime because it is at equal distance from previous prime (47002117) and next prime (47002141).

It can be written as a sum of positive squares in only one way, i.e., 46240000 + 762129 = 6800^2 + 873^2 .

It is a cyclic number.

It is not a de Polignac number, because 47002129 - 211 = 47000081 is a prime.

It is not a weakly prime, because it can be changed into another prime (47002429) 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, 23501064 + 23501065.

It is an arithmetic number, because the mean of its divisors is an integer number (23501065).

Almost surely, 247002129 is an apocalyptic number.

It is an amenable number.

47002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

47002129 is an equidigital number, since it uses as much as digits as its factorization.

47002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 47002129 is about 6855.8098719261. The cubic root of 47002129 is about 360.8880570030. Note that the first 3 decimals are identical.

The spelling of 47002129 in words is "forty-seven million, two thousand, one hundred twenty-nine".