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47338291 = 71113192131
BaseRepresentation
bin1011010010010…
…1001100110011
310022002000221001
42310211030303
544104311131
64410342431
71113240340
oct264451463
9108060831
1047338291
11247a2a60
1213a2aa17
139a65a30
1464037c7
154251261
hex2d25333

47338291 has 48 divisors (see below), whose sum is σ = 67592448. Its totient is φ = 32011200.

The previous prime is 47338289. The next prime is 47338309. The reversal of 47338291 is 19283374.

47338291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47338291 - 21 = 47338289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47338291.

It is not an unprimeable number, because it can be changed into a prime (47338261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361296 + ... + 361426.

It is an arithmetic number, because the mean of its divisors is an integer number (1408176).

Almost surely, 247338291 is an apocalyptic number.

47338291 is a deficient number, since it is larger than the sum of its proper divisors (20254157).

47338291 is a wasteful number, since it uses less digits than its factorization.

47338291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 47338291 is about 6880.2827703518. The cubic root of 47338291 is about 361.7463782151.

The spelling of 47338291 in words is "forty-seven million, three hundred thirty-eight thousand, two hundred ninety-one".

Divisors: 1 7 11 13 19 77 91 131 133 143 209 247 361 917 1001 1441 1463 1703 1729 2489 2527 2717 3971 4693 10087 11921 17423 18733 19019 27379 27797 32357 32851 47291 51623 131131 191653 226499 331037 355927 361361 520201 614783 2491489 3641407 4303481 6762613 47338291