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47133431 is a prime number
BaseRepresentation
bin1011001111001…
…1001011110111
310021200121220122
42303303023313
544031232211
64402122155
71111425152
oct263631367
9107617818
1047133431
1124673054
121395035b
1399c3707
14638cc99
1542106db
hex2cf32f7

47133431 has 2 divisors, whose sum is σ = 47133432. Its totient is φ = 47133430.

The previous prime is 47133413. The next prime is 47133451. The reversal of 47133431 is 13433174.

Together with previous prime (47133413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47133431 is a prime.

It is a super-4 number, since 4×471334314 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is equal to p2839202 and since 47133431 and 2839202 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47133431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47133451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23566715 + 23566716.

It is an arithmetic number, because the mean of its divisors is an integer number (23566716).

Almost surely, 247133431 is an apocalyptic number.

47133431 is a deficient number, since it is larger than the sum of its proper divisors (1).

47133431 is an equidigital number, since it uses as much as digits as its factorization.

47133431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 26.

The square root of 47133431 is about 6865.3791592308. The cubic root of 47133431 is about 361.2237954675.

The spelling of 47133431 in words is "forty-seven million, one hundred thirty-three thousand, four hundred thirty-one".