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47289816 = 23327101929
BaseRepresentation
bin1011010001100…
…1010111011000
310021222120102200
42310121113120
544101233231
64405330200
71112646120
oct264312730
9107876380
1047289816
112476a5a2
1213a06960
139a49952
1463cdc80
154241be6
hex2d195d8

47289816 has 96 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 13363200.

The previous prime is 47289793. The next prime is 47289829. The reversal of 47289816 is 61898274.

47289816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 50440 + ... + 51368.

It is an arithmetic number, because the mean of its divisors is an integer number (1541475).

Almost surely, 247289816 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 47289816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).

47289816 is an abundant number, since it is smaller than the sum of its proper divisors (100691784).

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

47289816 is a wasteful number, since it uses less digits than its factorization.

47289816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1042 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 47289816 is about 6876.7591203997. The cubic root of 47289816 is about 361.6228584435.

The spelling of 47289816 in words is "forty-seven million, two hundred eighty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 929 1212 1414 1818 1858 2121 2424 2787 2828 3636 3716 4242 5574 5656 6363 6503 7272 7432 8361 8484 11148 12726 13006 16722 16968 19509 22296 25452 26012 33444 39018 50904 52024 58527 66888 78036 93829 117054 156072 187658 234108 281487 375316 468216 562974 656803 750632 844461 1125948 1313606 1688922 1970409 2251896 2627212 3377844 3940818 5254424 5911227 6755688 7881636 11822454 15763272 23644908 47289816