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8260480332 = 22331324124413
BaseRepresentation
bin1111011000101110…
…01110110101001100
3210022200112212202000
413230113032311030
5113404140332312
63443402432300
7411462632016
oct75427166514
923280485660
108260480332
11355990a155
121726502690
13a184b4bb0
145851111b6
153352eeadc
hex1ec5ced4c

8260480332 has 96 divisors (see below), whose sum is σ = 23160096960. Its totient is φ = 2531036160.

The previous prime is 8260480331. The next prime is 8260480339. The reversal of 8260480332 is 2330840628.

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

It is not an unprimeable number, because it can be changed into a prime (8260480331) 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 31 ways as a sum of consecutive naturals, for example, 326158 + ... + 350570.

It is an arithmetic number, because the mean of its divisors is an integer number (241251010).

Almost surely, 28260480332 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 8260480332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11580048480).

8260480332 is an abundant number, since it is smaller than the sum of its proper divisors (14899616628).

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

8260480332 is a wasteful number, since it uses less digits than its factorization.

8260480332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24680 (or 24672 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8260480332 is about 90887.1846411803. The cubic root of 8260480332 is about 2021.4752752655.

The spelling of 8260480332 in words is "eight billion, two hundred sixty million, four hundred eighty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 241 351 468 482 702 723 964 1404 1446 2169 2892 3133 4338 6266 6507 8676 9399 12532 13014 18798 24413 26028 28197 37596 48826 56394 73239 84591 97652 112788 146478 169182 219717 292956 317369 338364 439434 634738 659151 878868 952107 1269476 1318302 1904214 2636604 2856321 3808428 5712642 5883533 8568963 11425284 11767066 17137926 17650599 23534132 34275852 35301198 52951797 70602396 76485929 105903594 152971858 158855391 211807188 229457787 305943716 317710782 458915574 635421564 688373361 917831148 1376746722 2065120083 2753493444 4130240166 8260480332