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47633149 is a prime number
BaseRepresentation
bin1011010110110…
…1001011111101
310022122000101201
42311231023331
544143230044
64420535501
71115606104
oct265551375
9108560351
1047633149
1124984543
1213b51591
139b39cc5
14647d03b
1542ad7d4
hex2d6d2fd

47633149 has 2 divisors, whose sum is σ = 47633150. Its totient is φ = 47633148.

The previous prime is 47633147. The next prime is 47633189. The reversal of 47633149 is 94133674.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46922500 + 710649 = 6850^2 + 843^2 .

It is a cyclic number.

It is not a de Polignac number, because 47633149 - 21 = 47633147 is a prime.

Together with 47633147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47633141) 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, 23816574 + 23816575.

It is an arithmetic number, because the mean of its divisors is an integer number (23816575).

Almost surely, 247633149 is an apocalyptic number.

It is an amenable number.

47633149 is a deficient number, since it is larger than the sum of its proper divisors (1).

47633149 is an equidigital number, since it uses as much as digits as its factorization.

47633149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 37.

The square root of 47633149 is about 6901.6772599130. The cubic root of 47633149 is about 362.4958991213.

The spelling of 47633149 in words is "forty-seven million, six hundred thirty-three thousand, one hundred forty-nine".