Search a number
-
+
99839385 = 345172853
BaseRepresentation
bin1011111001101…
…10110110011001
320221212100220000
411330312312121
5201024330020
613523523213
72321422632
oct574666631
9227770800
1099839385
11513a1898
1229529509
13178b8679
14d38c889
158b72090
hex5f36d99

99839385 has 60 divisors (see below), whose sum is σ = 190341228. Its totient is φ = 50056704.

The previous prime is 99839359. The next prime is 99839401. The reversal of 99839385 is 58393899.

It can be written as a sum of positive squares in 6 ways, for example, as 219024 + 99620361 = 468^2 + 9981^2 .

It is not a de Polignac number, because 99839385 - 26 = 99839321 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116619 + ... + 117471.

Almost surely, 299839385 is an apocalyptic number.

It is an amenable number.

99839385 is a deficient number, since it is larger than the sum of its proper divisors (90501843).

99839385 is a wasteful number, since it uses less digits than its factorization.

99839385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 878 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 99839385 is about 9991.9660227605. The cubic root of 99839385 is about 463.9102472679.

The spelling of 99839385 in words is "ninety-nine million, eight hundred thirty-nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 289 405 459 765 853 867 1377 1445 2295 2559 2601 4265 4335 6885 7677 7803 12795 13005 14501 23031 23409 38385 39015 43503 69093 72505 115155 117045 130509 217515 246517 345465 391527 652545 739551 1174581 1232585 1957635 2218653 3697755 5872905 6655959 11093265 19967877 33279795 99839385