Search a number
-
+
2841248436 = 22313291633853
BaseRepresentation
bin1010100101011010…
…0000001010110100
321100000022101010120
42221112200022310
521304324422221
61145533451540
7130260133065
oct25126401264
97300271116
102841248436
1112288a1004
12673640bb0
133638400c0
141cd4c056c
151196865c6
hexa95a02b4

2841248436 has 96 divisors (see below), whose sum is σ = 7432978560. Its totient is φ = 838688256.

The previous prime is 2841248411. The next prime is 2841248441. The reversal of 2841248436 is 6348421482.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 735486 + ... + 739338.

It is an arithmetic number, because the mean of its divisors is an integer number (77426860).

Almost surely, 22841248436 is an apocalyptic number.

2841248436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2841248436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716489280).

2841248436 is an abundant number, since it is smaller than the sum of its proper divisors (4591730124).

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

2841248436 is a wasteful number, since it uses less digits than its factorization.

2841248436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4063 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 2841248436 is about 53303.3623329711. The cubic root of 2841248436 is about 1416.3472268425.

The spelling of 2841248436 in words is "two billion, eight hundred forty-one million, two hundred forty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 163 174 326 348 377 489 652 754 978 1131 1508 1956 2119 2262 3853 4238 4524 4727 6357 7706 8476 9454 11559 12714 14181 15412 18908 23118 25428 28362 46236 50089 56724 61451 100178 111737 122902 150267 184353 200356 223474 245804 300534 335211 368706 446948 601068 628039 670422 737412 1256078 1340844 1452581 1884117 2512156 2905162 3768234 4357743 5810324 7536468 8164507 8715486 16329014 17430972 18213131 24493521 32658028 36426262 48987042 54639393 72852524 97974084 109278786 218557572 236770703 473541406 710312109 947082812 1420624218 2841248436