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2005314792 = 233132494407
BaseRepresentation
bin111011110000110…
…1010110011101000
312011202100112202020
41313201222303220
513101330033132
6530552504440
7100456615545
oct16741526350
95152315666
102005314792
11939a47758
1247b6ab120
1325c5b8500
1415047dbcc
15bb0b252c
hex7786ace8

2005314792 has 48 divisors (see below), whose sum is σ = 5428599840. Its totient is φ = 617018688.

The previous prime is 2005314769. The next prime is 2005314799. The reversal of 2005314792 is 2974135002.

It is not an unprimeable number, because it can be changed into a prime (2005314799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243148 + ... + 251259.

It is an arithmetic number, because the mean of its divisors is an integer number (113095830).

Almost surely, 22005314792 is an apocalyptic number.

It is an amenable number.

2005314792 is an abundant number, since it is smaller than the sum of its proper divisors (3423285048).

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

2005314792 is a wasteful number, since it uses less digits than its factorization.

2005314792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494442 (or 494425 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2005314792 is about 44780.7413069502. The cubic root of 2005314792 is about 1261.0360991543.

Adding to 2005314792 its reverse (2974135002), we get a palindrome (4979449794).

The spelling of 2005314792 in words is "two billion, five million, three hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 494407 988814 1483221 1977628 2966442 3955256 5932884 6427291 11865768 12854582 19281873 25709164 38563746 51418328 77127492 83554783 154254984 167109566 250664349 334219132 501328698 668438264 1002657396 2005314792