Search a number
-
+
4085555804 = 2211217975119
BaseRepresentation
bin1111001110000100…
…1010001001011100
3101112201200201221122
43303201022021130
531331400241204
61513223350112
7203146436261
oct36341121134
911481621848
104085555804
11180720a600
129602b2338
13501578855
142aa865268
1518da250be
hexf384a25c

4085555804 has 72 divisors (see below), whose sum is σ = 8408494080. Its totient is φ = 1729474560.

The previous prime is 4085555783. The next prime is 4085555809.

4085555804 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085555809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795557 + ... + 800675.

It is an arithmetic number, because the mean of its divisors is an integer number (116784640).

Almost surely, 24085555804 is an apocalyptic number.

4085555804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4085555804 is an abundant number, since it is smaller than the sum of its proper divisors (4322938276).

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

4085555804 is a wasteful number, since it uses less digits than its factorization.

4085555804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 44.

The square root of 4085555804 is about 63918.3526383464. The cubic root of 4085555804 is about 1598.6389211394.

The spelling of 4085555804 in words is "four billion, eighty-five million, five hundred fifty-five thousand, eight hundred four".

Divisors: 1 2 4 11 17 22 34 44 68 97 121 187 194 242 374 388 484 748 1067 1649 2057 2134 3298 4114 4268 5119 6596 8228 10238 11737 18139 20476 23474 36278 46948 56309 72556 87023 112618 174046 199529 225236 348092 399058 496543 619399 798116 957253 993086 1238798 1914506 1986172 2477596 3829012 5461973 8441231 10529783 10923946 16882462 21059566 21847892 33764924 42119132 60081703 92853541 120163406 185707082 240326812 371414164 1021388951 2042777902 4085555804