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2027048192 = 2813246853
BaseRepresentation
bin111100011010010…
…0100110100000000
312020021020201100222
41320310210310000
513122411020232
6533050402212
7101142424331
oct17064446400
95207221328
102027048192
11950241344
12486a30368
13263c57900
141532da288
15bce56d12
hex78d24d00

2027048192 has 54 divisors (see below), whose sum is σ = 4381458102. Its totient is φ = 935540736.

The previous prime is 2027048173. The next prime is 2027048197. The reversal of 2027048192 is 2918407202.

It can be written as a sum of positive squares in 3 ways, for example, as 11397376 + 2015650816 = 3376^2 + 44896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027048197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19838 + ... + 66690.

It is an arithmetic number, because the mean of its divisors is an integer number (81138113).

Almost surely, 22027048192 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 2027048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190729051).

2027048192 is an abundant number, since it is smaller than the sum of its proper divisors (2354409910).

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

2027048192 is an equidigital number, since it uses as much as digits as its factorization.

2027048192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46895 (or 46868 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2027048192 is about 45022.7519372150. The cubic root of 2027048192 is about 1265.5754004051.

The spelling of 2027048192 in words is "two billion, twenty-seven million, forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43264 46853 93706 187412 374824 609089 749648 1218178 1499296 2436356 2998592 4872712 5997184 7918157 9745424 11994368 15836314 19490848 31672628 38981696 63345256 77963392 126690512 155926784 253381024 506762048 1013524096 2027048192