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2827690368 = 27337199021
BaseRepresentation
bin1010100010001011…
…0010000110000000
321022001210112221220
42220202302012000
521242342042433
61144331115040
7130033654146
oct25042620600
97261715856
102827690368
111221180698
1266aba2a80
13360aa3b89
141cb791596
151183a92b3
hexa88b2180

2827690368 has 64 divisors (see below), whose sum is σ = 7714092720. Its totient is φ = 917084160.

The previous prime is 2827690367. The next prime is 2827690373. The reversal of 2827690368 is 8630967282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2827690368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827690361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85303 + ... + 113718.

Almost surely, 22827690368 is an apocalyptic number.

It is an amenable number.

2827690368 is an abundant number, since it is smaller than the sum of its proper divisors (4886402352).

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

2827690368 is a wasteful number, since it uses less digits than its factorization.

2827690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199075 (or 199063 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2827690368 is about 53176.0318940780. The cubic root of 2827690368 is about 1414.0907589187.

The spelling of 2827690368 in words is "two billion, eight hundred twenty-seven million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 199021 398042 597063 796084 1194126 1592168 2388252 3184336 4776504 6368672 7363777 9553008 12737344 14727554 19106016 22091331 25474688 29455108 38212032 44182662 58910216 76424064 88365324 117820432 176730648 235640864 353461296 471281728 706922592 942563456 1413845184 2827690368