Search a number
-
+
2808285844 = 2272132149569
BaseRepresentation
bin1010011101100011…
…0000101010010100
321020201021200221211
42213120300222110
521222410121334
61142355151204
7126410015200
oct24730605224
97221250854
102808285844
1112112277a1
126645a5504
13359a6b800
141c8d7db00
15116824a64
hexa7630a94

2808285844 has 108 divisors (see below), whose sum is σ = 6242953500. Its totient is φ = 1101574656.

The previous prime is 2808285841. The next prime is 2808285871. The reversal of 2808285844 is 4485828082.

It can be written as a sum of positive squares in 6 ways, for example, as 1423552900 + 1384732944 = 37730^2 + 37212^2 .

It is a super-2 number, since 2×28082858442 = 15772938763221584672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2808285841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4935192 + ... + 4935760.

It is an arithmetic number, because the mean of its divisors is an integer number (57805125).

Almost surely, 22808285844 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 2808285844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121476750).

2808285844 is an abundant number, since it is smaller than the sum of its proper divisors (3434667656).

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

2808285844 is a wasteful number, since it uses less digits than its factorization.

2808285844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 49.

The square root of 2808285844 is about 52993.2622509692. The cubic root of 2808285844 is about 1410.8486824407.

The spelling of 2808285844 in words is "two billion, eight hundred eight million, two hundred eighty-five thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 149 169 182 196 298 338 364 569 596 637 676 1043 1138 1183 1274 1937 2086 2276 2366 2548 3874 3983 4172 4732 7301 7397 7748 7966 8281 13559 14602 14794 15932 16562 25181 27118 27881 29204 29588 33124 50362 51779 54236 55762 84781 94913 96161 100724 103558 111524 169562 176267 189826 192322 207116 339124 352534 362453 379652 384644 593467 673127 705068 724906 1102153 1186934 1233869 1346254 1449812 2204306 2373868 2467738 2692508 4154269 4408612 4711889 4935476 7715071 8308538 9423778 14327989 15430142 16617076 18847556 28655978 30860284 54005497 57311956 100295923 108010994 200591846 216021988 401183692 702071461 1404142922 2808285844