Search a number
-
+
4027408605 = 3251157114249
BaseRepresentation
bin1111000000001101…
…0110000011011101
3101101200021112222200
43300003112003131
531222004033410
61503345202113
7201542260023
oct36003260335
911350245880
104027408605
111787404770
12944930339
134c24ca01c
142a2c4a713
1518888b3c0
hexf00d60dd

4027408605 has 48 divisors (see below), whose sum is σ = 7629336000. Its totient is φ = 1949126400.

The previous prime is 4027408601. The next prime is 4027408607. The reversal of 4027408605 is 5068047204.

4027408605 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 40 + 8 + 605 = 666.

4027408605 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4027408605 - 22 = 4027408601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4027408605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4027408601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275521 + ... + 289769.

It is an arithmetic number, because the mean of its divisors is an integer number (158944500).

Almost surely, 24027408605 is an apocalyptic number.

4027408605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4027408605 is a deficient number, since it is larger than the sum of its proper divisors (3601927395).

4027408605 is a wasteful number, since it uses less digits than its factorization.

4027408605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14842 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4027408605 is about 63461.8673299171. The cubic root of 4027408605 is about 1591.0185060931.

The spelling of 4027408605 in words is "four billion, twenty-seven million, four hundred eight thousand, six hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 571 1713 2855 5139 6281 8565 14249 18843 25695 31405 42747 56529 71245 94215 128241 156739 213735 282645 470217 641205 783695 1410651 2351085 7053255 8136179 24408537 40680895 73225611 89497969 122042685 268493907 366128055 447489845 805481721 1342469535 4027408605