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2838809484 = 223375876397
BaseRepresentation
bin1010100100110100…
…1100101110001100
321022211201110112000
42221031030232030
521303213400414
61145405312300
7130230324330
oct25115145614
97284643460
102838809484
111227485645
12672865690
13363197c34
141cd0477c0
15119353b09
hexa934cb8c

2838809484 has 96 divisors (see below), whose sum is σ = 8426933760. Its totient is φ = 809580096.

The previous prime is 2838809483. The next prime is 2838809539. The reversal of 2838809484 is 4849088382.

2838809484 is a `hidden beast` number, since 2 + 83 + 8 + 80 + 9 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2838809484.

It is not an unprimeable number, because it can be changed into a prime (2838809483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440574 + ... + 446970.

It is an arithmetic number, because the mean of its divisors is an integer number (87780560).

Almost surely, 22838809484 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 2838809484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213466880).

2838809484 is an abundant number, since it is smaller than the sum of its proper divisors (5588124276).

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

2838809484 is a wasteful number, since it uses less digits than its factorization.

2838809484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 2838809484 is about 53280.4793897352. The cubic root of 2838809484 is about 1415.9418426272.

The spelling of 2838809484 in words is "two billion, eight hundred thirty-eight million, eight hundred nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 587 756 1174 1761 2348 3522 4109 5283 6397 7044 8218 10566 12327 12794 15849 16436 19191 21132 24654 25588 31698 36981 38382 44779 49308 57573 63396 73962 76764 89558 110943 115146 134337 147924 172719 179116 221886 230292 268674 345438 403011 443772 537348 690876 806022 1209033 1612044 2418066 3755039 4836132 7510078 11265117 15020156 22530234 26285273 33795351 45060468 52570546 67590702 78855819 101386053 105141092 135181404 157711638 202772106 236567457 315423276 405544212 473134914 709702371 946269828 1419404742 2838809484