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47893041 = 3272223487
BaseRepresentation
bin1011011010110…
…0101000110001
310100010012220100
42312230220301
544230034131
64430303013
71121040600
oct266545061
9110105810
1047893041
1125041829
1214057a69
139bcb3a1
146509a37
1543107e6
hex2daca31

47893041 has 36 divisors (see below), whose sum is σ = 81000192. Its totient is φ = 27188784.

The previous prime is 47893009. The next prime is 47893051. The reversal of 47893041 is 14039874.

47893041 = T1870 + T1871 + ... + T1896.

It is a happy number.

47893041 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 47893041 - 25 = 47893009 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47892987 and 47893005.

It is not an unprimeable number, because it can be changed into a prime (47893051) 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 35 ways as a sum of consecutive naturals, for example, 98100 + ... + 98586.

Almost surely, 247893041 is an apocalyptic number.

It is an amenable number.

47893041 is a deficient number, since it is larger than the sum of its proper divisors (33107151).

47893041 is a wasteful number, since it uses less digits than its factorization.

47893041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47893041 is about 6920.4798244052. The cubic root of 47893041 is about 363.1539769783.

The spelling of 47893041 in words is "forty-seven million, eight hundred ninety-three thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 223 441 487 669 1461 1561 2007 3409 4383 4683 10227 10927 14049 23863 30681 32781 71589 98343 108601 214767 325803 760207 977409 2280621 5321449 6841863 15964347 47893041