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8007785226 = 234716694231
BaseRepresentation
bin1110111010100110…
…10001101100001010
3202200002001122020000
413131103101230022
5112344443111401
63402334343430
7402304023420
oct73523215412
922602048200
108007785226
11343a205621
12167595ab76
139a803a86c
1455d733110
1531d037186
hex1dd4d1b0a

8007785226 has 80 divisors (see below), whose sum is σ = 20523845760. Its totient is φ = 2286027360.

The previous prime is 8007785183. The next prime is 8007785231. The reversal of 8007785226 is 6225877008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1890531 + ... + 1894761.

It is an arithmetic number, because the mean of its divisors is an integer number (256548072).

Almost surely, 28007785226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007785226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10261922880).

8007785226 is an abundant number, since it is smaller than the sum of its proper divisors (12516060534).

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

8007785226 is a wasteful number, since it uses less digits than its factorization.

8007785226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8007785226 is about 89486.2292534444. The cubic root of 8007785226 is about 2000.6485584965.

The spelling of 8007785226 in words is "eight billion, seven million, seven hundred eighty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1669 3338 4231 5007 8462 10014 11683 12693 15021 23366 25386 29617 30042 35049 38079 45063 59234 70098 76158 88851 90126 105147 114237 135189 177702 210294 228474 266553 270378 315441 342711 533106 630882 685422 799659 946323 1599318 1892646 2398977 4797954 7061539 14123078 21184617 42369234 49430773 63553851 98861546 127107702 148292319 190661553 296584638 381323106 444876957 571984659 889753914 1143969318 1334630871 2669261742 4003892613 8007785226