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2085597152 = 25732513557
BaseRepresentation
bin111110001001111…
…1010111111100000
312101100102022102222
41330103322333200
513232403102102
6542541330212
7102453166112
oct17423727740
95340368388
102085597152
119802a1011
124a2566968
13273117272
1415adbb3b2
15c316eaa2
hex7c4fafe0

2085597152 has 48 divisors (see below), whose sum is σ = 4180023792. Its totient is φ = 1024128000.

The previous prime is 2085597133. The next prime is 2085597161. The reversal of 2085597152 is 2517955802.

It is a super-2 number, since 2×20855971522 = 8699430960861022208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584558 + ... + 588114.

It is an arithmetic number, because the mean of its divisors is an integer number (87083829).

Almost surely, 22085597152 is an apocalyptic number.

It is an amenable number.

2085597152 is an abundant number, since it is smaller than the sum of its proper divisors (2094426640).

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

2085597152 is a wasteful number, since it uses less digits than its factorization.

2085597152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The square root of 2085597152 is about 45668.3386165952. The cubic root of 2085597152 is about 1277.6448293541.

The spelling of 2085597152 in words is "two billion, eighty-five million, five hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 73 146 251 292 502 584 1004 1168 2008 2336 3557 4016 7114 8032 14228 18323 28456 36646 56912 73292 113824 146584 259661 293168 519322 586336 892807 1038644 1785614 2077288 3571228 4154576 7142456 8309152 14284912 28569824 65174911 130349822 260699644 521399288 1042798576 2085597152