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47874133 is a prime number
BaseRepresentation
bin1011011010100…
…0000001010101
310100002020222001
42312220001111
544223433013
64430035301
71120631506
oct266500125
9110066861
1047874133
11250295aa
1214048b31
139bc28b8
146502bad
154309ddd
hex2da8055

47874133 has 2 divisors, whose sum is σ = 47874134. Its totient is φ = 47874132.

The previous prime is 47874131. The next prime is 47874139. The reversal of 47874133 is 33147874.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42224004 + 5650129 = 6498^2 + 2377^2 .

It is a cyclic number.

It is not a de Polignac number, because 47874133 - 21 = 47874131 is a prime.

It is a super-2 number, since 2×478741332 = 4583865221003378, which contains 22 as substring.

Together with 47874131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 47874092 and 47874101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47874131) 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, 23937066 + 23937067.

It is an arithmetic number, because the mean of its divisors is an integer number (23937067).

Almost surely, 247874133 is an apocalyptic number.

It is an amenable number.

47874133 is a deficient number, since it is larger than the sum of its proper divisors (1).

47874133 is an equidigital number, since it uses as much as digits as its factorization.

47874133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 37.

The square root of 47874133 is about 6919.1135992987. The cubic root of 47874133 is about 363.1061800605.

The spelling of 47874133 in words is "forty-seven million, eight hundred seventy-four thousand, one hundred thirty-three".