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2823428916 = 22327117011453
BaseRepresentation
bin1010100001001010…
…0001101100110100
321021202210001100100
42220102201230310
521240244211131
61144055514100
7126652515120
oct25022415464
97252701310
102823428916
11121982aa30
12669688930
1335cc412c9
141cada2580
15117d167e6
hexa84a1b34

2823428916 has 144 divisors (see below), whose sum is σ = 8916905088. Its totient is φ = 731808000.

The previous prime is 2823428897. The next prime is 2823428921. The reversal of 2823428916 is 6198243282.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1942446 + ... + 1943898.

It is an arithmetic number, because the mean of its divisors is an integer number (61922952).

Almost surely, 22823428916 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 2823428916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458452544).

2823428916 is an abundant number, since it is smaller than the sum of its proper divisors (6093476172).

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

2823428916 is a wasteful number, since it uses less digits than its factorization.

2823428916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2177 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2823428916 is about 53135.9474931990. The cubic root of 2823428916 is about 1413.3800364052.

The spelling of 2823428916 in words is "two billion, eight hundred twenty-three million, four hundred twenty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 701 924 1386 1402 1453 2103 2772 2804 2906 4206 4359 4907 5812 6309 7711 8412 8718 9814 10171 12618 13077 14721 15422 15983 17436 19628 20342 23133 25236 26154 29442 30513 30844 31966 40684 44163 46266 47949 52308 53977 58884 61026 63932 69399 88326 91539 92532 95898 107954 111881 122052 138798 143847 161931 176652 183078 191796 215908 223762 277596 287694 323862 335643 366156 447524 485793 575388 647724 671286 971586 1006929 1018553 1342572 1943172 2013858 2037106 3055659 4027716 4074212 6111318 7129871 9166977 11204083 12222636 14259742 18333954 21389613 22408166 28519484 33612249 36667908 42779226 44816332 64168839 67224498 78428581 85558452 100836747 128337678 134448996 156857162 201673494 235285743 256675356 313714324 403346988 470571486 705857229 941142972 1411714458 2823428916