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2085594084 = 2232743197977
BaseRepresentation
bin111110001001111…
…1010001111100100
312101100102011020100
41330103322033210
513232403002314
6542541304100
7102453154140
oct17423721744
95340364210
102085594084
11980299782
124a2565030
13273115a52
1415adba220
15c316dc09
hex7c4fa3e4

2085594084 has 144 divisors (see below), whose sum is σ = 6202804608. Its totient is φ = 578479104.

The previous prime is 2085594079. The next prime is 2085594089. The reversal of 2085594084 is 4804955802.

It is an interprime number because it is at equal distance from previous prime (2085594079) and next prime (2085594089).

It is not an unprimeable number, because it can be changed into a prime (2085594089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2134204 + ... + 2135180.

It is an arithmetic number, because the mean of its divisors is an integer number (43075032).

Almost surely, 22085594084 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 2085594084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101402304).

2085594084 is an abundant number, since it is smaller than the sum of its proper divisors (4117210524).

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

2085594084 is a wasteful number, since it uses less digits than its factorization.

2085594084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2085594084 is about 45668.3050265718. The cubic root of 2085594084 is about 1277.6442028643.

The spelling of 2085594084 in words is "two billion, eighty-five million, five hundred ninety-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 197 252 258 301 387 394 516 591 602 774 788 903 977 1182 1204 1379 1548 1773 1806 1954 2364 2709 2758 2931 3546 3612 3908 4137 5418 5516 5862 6839 7092 8274 8471 8793 10836 11724 12411 13678 16548 16942 17586 20517 24822 25413 27356 33884 35172 41034 42011 49644 50826 59297 61551 76239 82068 84022 101652 118594 123102 126033 152478 168044 177891 192469 237188 246204 252066 294077 304956 355782 378099 384938 504132 533673 577407 588154 711564 756198 769876 882231 1067346 1154814 1176308 1347283 1512396 1732221 1764462 2134692 2309628 2646693 2694566 3464442 3528924 4041849 5293386 5389132 6928884 8083698 8276167 10586772 12125547 16167396 16552334 24251094 24828501 33104668 48502188 49657002 57933169 74485503 99314004 115866338 148971006 173799507 231732676 297942012 347599014 521398521 695198028 1042797042 2085594084