Search a number
-
+
3985509 = 311235989
BaseRepresentation
bin1111001101000001100101
321111111002110
433031001211
52010014014
6221231233
745606363
oct17150145
97444073
103985509
112282410
121402519
13a970b8
1475a633
1553ad59
hex3cd065

3985509 has 32 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 2245760.

The previous prime is 3985469. The next prime is 3985511. The reversal of 3985509 is 9055893.

3985509 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 3985509 - 211 = 3983461 is a prime.

3985509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44737 + ... + 44825.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 23985509 is an apocalyptic number.

It is an amenable number.

3985509 is a deficient number, since it is larger than the sum of its proper divisors (2235291).

3985509 is a wasteful number, since it uses less digits than its factorization.

3985509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 3985509 is about 1996.3739629639. The cubic root of 3985509 is about 158.5481813405.

The spelling of 3985509 in words is "three million, nine hundred eighty-five thousand, five hundred nine".

Divisors: 1 3 11 23 33 59 69 89 177 253 267 649 759 979 1357 1947 2047 2937 4071 5251 6141 14927 15753 22517 44781 57761 67551 120773 173283 362319 1328503 3985509