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2906728804 = 227367103307
BaseRepresentation
bin1010110101000001…
…0010100101100100
321111120112010022101
42231100102211210
521423110310204
61200233141444
7132013534000
oct25520224544
97446463271
102906728804
111261855411
1269155a884
13374288695
141d8087700
151202bcea4
hexad412964

2906728804 has 96 divisors (see below), whose sum is σ = 6098892800. Its totient is φ = 1211275296.

The previous prime is 2906728789. The next prime is 2906728817. The reversal of 2906728804 is 4088276092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9468019 + ... + 9468325.

Almost surely, 22906728804 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 2906728804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049446400).

2906728804 is an abundant number, since it is smaller than the sum of its proper divisors (3192163996).

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

2906728804 is a wasteful number, since it uses less digits than its factorization.

2906728804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 2906728804 is about 53914.0872499943. The cubic root of 2906728804 is about 1427.1452336858.

The spelling of 2906728804 in words is "two billion, nine hundred six million, seven hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 67 98 103 134 196 206 268 307 343 412 469 614 686 721 938 1228 1372 1442 1876 2149 2884 3283 4298 5047 6566 6901 8596 10094 13132 13802 15043 20188 20569 22981 27604 30086 31621 35329 41138 45962 48307 60172 63242 70658 82276 91924 96614 105301 126484 141316 143983 193228 210602 221347 287966 338149 421204 442694 575932 676298 885388 1007881 1352596 1549429 2015762 2118607 2367043 3098858 4031524 4237214 4734086 6197716 7055167 8474428 9468172 10846003 14110334 14830249 21692006 28220668 29660498 43384012 59320996 103811743 207623486 415246972 726682201 1453364402 2906728804