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2092779216 = 243211361179
BaseRepresentation
bin111110010111101…
…0100011011010000
312101211221012101100
41330233110123100
513241222413331
6543355304400
7102601221063
oct17457243320
95354835340
102092779216
11984357000
124a4a4b100
132747602c8
1415bd2a8da
15c3adcae6
hex7cbd46d0

2092779216 has 240 divisors, whose sum is σ = 6584310720. Its totient is φ = 620294400.

The previous prime is 2092779191. The next prime is 2092779233. The reversal of 2092779216 is 6129772902.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11691415 + ... + 11691593.

It is an arithmetic number, because the mean of its divisors is an integer number (27434628).

Almost surely, 22092779216 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 2092779216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292155360).

2092779216 is an abundant number, since it is smaller than the sum of its proper divisors (4491531504).

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

2092779216 is a wasteful number, since it uses less digits than its factorization.

2092779216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2092779216 is about 45746.9038952365. The cubic root of 2092779216 is about 1279.1097357656.

The spelling of 2092779216 in words is "two billion, ninety-two million, seven hundred seventy-nine thousand, two hundred sixteen".