Search a number
-
+
2821807688 = 237226832
BaseRepresentation
bin1010100000110001…
…0101111001001000
321021122201200102212
42220030111321020
521234340321223
61144001044252
7126632653400
oct25014257110
97248650385
102821807688
111218922977
12669026688
1335c7c43bb
141caa9d800
15117ae6278
hexa8315e48

2821807688 has 36 divisors (see below), whose sum is σ = 6157002915. Its totient is φ = 1208895408.

The previous prime is 2821807687. The next prime is 2821807721. The reversal of 2821807688 is 8867081282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1410903844 + 1410903844 = 37562^2 + 37562^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=37562.

It is not an unprimeable number, because it can be changed into a prime (2821807687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1050395 + ... + 1053077.

Almost surely, 22821807688 is an apocalyptic number.

2821807688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2821807688 is an abundant number, since it is smaller than the sum of its proper divisors (3335195227).

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

2821807688 is an frugal number, since it uses more digits than its factorization.

2821807688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The square root of 2821807688 is about 53120.6898298582. The cubic root of 2821807688 is about 1413.1094611486.

Multiplying 2821807688 by its sum of digits (50), we get a square (141090384400 = 3756202).

The spelling of 2821807688 in words is "two billion, eight hundred twenty-one million, eight hundred seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2683 5366 10732 18781 21464 37562 75124 131467 150248 262934 525868 1051736 7198489 14396978 28793956 50389423 57587912 100778846 201557692 352725961 403115384 705451922 1410903844 2821807688