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47306868 = 22373137491
BaseRepresentation
bin1011010001110…
…1100001110100
310022000102211020
42310131201310
544102304433
64405541140
71113046620
oct264354164
9108012736
1047306868
1124781394
1213a147b0
139a5463b
1463d6180
154246cb3
hex2d1d874

47306868 has 96 divisors (see below), whose sum is σ = 134012928. Its totient is φ = 12700800.

The previous prime is 47306821. The next prime is 47306873. The reversal of 47306868 is 86860374.

47306868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 96103 + ... + 96593.

It is an arithmetic number, because the mean of its divisors is an integer number (1395968).

Almost surely, 247306868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47306868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67006464).

47306868 is an abundant number, since it is smaller than the sum of its proper divisors (86706060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47306868 is a wasteful number, since it uses less digits than its factorization.

47306868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 47306868 is about 6877.9988368711. The cubic root of 47306868 is about 361.6663184840. Note that the first 3 decimals are identical.

The spelling of 47306868 in words is "forty-seven million, three hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 62 74 84 93 111 124 148 186 217 222 259 372 434 444 491 518 651 777 868 982 1036 1147 1302 1473 1554 1964 2294 2604 2946 3108 3437 3441 4588 5892 6874 6882 8029 10311 13748 13764 15221 16058 18167 20622 24087 30442 32116 36334 41244 45663 48174 54501 60884 72668 91326 96348 106547 109002 127169 182652 213094 218004 254338 319641 381507 426188 508676 563177 639282 763014 1126354 1278564 1526028 1689531 2252708 3379062 3942239 6758124 7884478 11826717 15768956 23653434 47306868