Search a number
-
+
8480326104 = 2334172393221
BaseRepresentation
bin1111110010111011…
…11000000111011000
3210220000020012110000
413321131320013120
5114331430413404
63521254453000
7420102403545
oct77135700730
923800205400
108480326104
113661a17578
121788064160
13a51bca353
145a63bbbcc
15349779339
hex1f97781d8

8480326104 has 160 divisors (see below), whose sum is σ = 25263057600. Its totient is φ = 2648540160.

The previous prime is 8480326103. The next prime is 8480326139. The reversal of 8480326104 is 4016230848.

8480326104 is a `hidden beast` number, since 8 + 4 + 8 + 0 + 32 + 610 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480326103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2631214 + ... + 2634434.

It is an arithmetic number, because the mean of its divisors is an integer number (157894110).

Almost surely, 28480326104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8480326104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631528800).

8480326104 is an abundant number, since it is smaller than the sum of its proper divisors (16782731496).

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

8480326104 is a wasteful number, since it uses less digits than its factorization.

8480326104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8480326104 is about 92088.6860803215. The cubic root of 8480326104 is about 2039.2517844323.

The spelling of 8480326104 in words is "eight billion, four hundred eighty million, three hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 239 306 324 408 459 478 612 648 717 918 956 1224 1377 1434 1836 1912 2151 2754 2868 3221 3672 4063 4302 5508 5736 6442 6453 8126 8604 9663 11016 12189 12884 12906 16252 17208 19326 19359 24378 25768 25812 28989 32504 36567 38652 38718 48756 51624 54757 57978 73134 77304 77436 86967 97512 109514 109701 115956 146268 154872 164271 173934 219028 219402 231912 260901 292536 328542 329103 347868 438056 438804 492813 521802 657084 658206 695736 769819 877608 985626 1043604 1314168 1316412 1478439 1539638 1971252 2087208 2309457 2632824 2956878 3079276 3942504 4435317 4618914 5913756 6158552 6928371 8870634 9237828 11827512 13086923 13856742 17741268 18475656 20785113 26173846 27713484 35482536 39260769 41570226 52347692 55426968 62355339 78521538 83140452 104695384 117782307 124710678 157043076 166280904 235564614 249421356 314086152 353346921 471129228 498842712 706693842 942258456 1060040763 1413387684 2120081526 2826775368 4240163052 8480326104