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1085447916 = 223278948397
BaseRepresentation
bin100000010110010…
…1001111011101100
32210122110110121200
41000230221323230
54210333313131
6255412525500
735620104120
oct10054517354
92718413550
101085447916
115077860a3
12263620890
13143b57197
14a4231580
156545e2e6
hex40b29eec

1085447916 has 72 divisors (see below), whose sum is σ = 3171036960. Its totient is φ = 306637056.

The previous prime is 1085447893. The next prime is 1085447921. The reversal of 1085447916 is 6197445801.

1085447916 is a `hidden beast` number, since 10 + 8 + 544 + 7 + 91 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771 + ... + 46626.

It is an arithmetic number, because the mean of its divisors is an integer number (44042180).

Almost surely, 21085447916 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 1085447916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585518480).

1085447916 is an abundant number, since it is smaller than the sum of its proper divisors (2085589044).

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

1085447916 is a wasteful number, since it uses less digits than its factorization.

1085447916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48503 (or 48498 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1085447916 is about 32946.1365868595. The cubic root of 1085447916 is about 1027.7078244796.

The spelling of 1085447916 in words is "one billion, eighty-five million, four hundred forty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 623 801 1068 1246 1602 1869 2492 3204 3738 5607 7476 11214 22428 48397 96794 145191 193588 290382 338779 435573 580764 677558 871146 1016337 1355116 1742292 2032674 3049011 4065348 4307333 6098022 8614666 12196044 12921999 17229332 25843998 30151331 38765997 51687996 60302662 77531994 90453993 120605324 155063988 180907986 271361979 361815972 542723958 1085447916