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2884646052 = 22325310114969
BaseRepresentation
bin1010101111110000…
…0011010010100100
321110000222012110200
42223330003102210
521401432133202
61154123550500
7131325041541
oct25374032244
97400865420
102884646052
111250342302
1268608b430
1336c826272
141d5179bc8
1511d3a9e1c
hexabf034a4

2884646052 has 72 divisors (see below), whose sum is σ = 7503383160. Its totient is φ = 934003200.

The previous prime is 2884646041. The next prime is 2884646077. The reversal of 2884646052 is 2506464882.

2884646052 is a `hidden beast` number, since 2 + 88 + 464 + 60 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 489913956 + 2394732096 = 22134^2 + 48936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2884645989 and 2884646007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185224 + ... + 200192.

It is an arithmetic number, because the mean of its divisors is an integer number (104213655).

Almost surely, 22884646052 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 2884646052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751691580).

2884646052 is an abundant number, since it is smaller than the sum of its proper divisors (4618737108).

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

2884646052 is a wasteful number, since it uses less digits than its factorization.

2884646052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133 (or 15128 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2884646052 is about 53708.9010500122. The cubic root of 2884646052 is about 1423.5219807229.

The spelling of 2884646052 in words is "two billion, eight hundred eighty-four million, six hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 101 106 159 202 212 303 318 404 477 606 636 909 954 1212 1818 1908 3636 5353 10706 14969 16059 21412 29938 32118 44907 48177 59876 64236 89814 96354 134721 179628 192708 269442 538884 793357 1511869 1586714 2380071 3023738 3173428 4535607 4760142 6047476 7140213 9071214 9520284 13606821 14280426 18142428 27213642 28560852 54427284 80129057 160258114 240387171 320516228 480774342 721161513 961548684 1442323026 2884646052