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47093805 = 345112312
BaseRepresentation
bin1011001110100…
…1100000101101
310021121121120000
42303221200231
544024000210
64401214513
71111201503
oct263514055
9107547500
1047093805
1124646300
1213931439
1399ab675
14637c673
154203ac0
hex2ce982d

47093805 has 90 divisors (see below), whose sum is σ = 95882094. Its totient is φ = 22096800.

The previous prime is 47093779. The next prime is 47093819. The reversal of 47093805 is 50839074.

47093805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37675044 + 9418761 = 6138^2 + 3069^2 .

It is not a de Polignac number, because 47093805 - 211 = 47091757 is a prime.

It is a super-3 number, since 3×470938053 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47093805.

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 89 ways as a sum of consecutive naturals, for example, 1519140 + ... + 1519170.

Almost surely, 247093805 is an apocalyptic number.

47093805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47093805 is an abundant number, since it is smaller than the sum of its proper divisors (48788289).

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

47093805 is a wasteful number, since it uses less digits than its factorization.

47093805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 47093805 is about 6862.4926229469. The cubic root of 47093805 is about 361.1225377756.

The spelling of 47093805 in words is "forty-seven million, ninety-three thousand, eight hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 81 93 99 121 135 155 165 279 297 341 363 405 465 495 605 837 891 961 1023 1089 1395 1485 1705 1815 2511 2883 3069 3267 3751 4185 4455 4805 5115 5445 8649 9207 9801 10571 11253 12555 14415 15345 16335 18755 25947 27621 31713 33759 43245 46035 49005 52855 56265 77841 95139 101277 116281 129735 138105 158565 168795 285417 303831 348843 389205 475695 506385 581405 856251 1046529 1427085 1519155 1744215 3139587 4281255 5232645 9418761 15697935 47093805