Search a number
-
+
2824545536 = 28531791163
BaseRepresentation
bin1010100001011011…
…0010010100000000
321021211212210001122
42220112302110000
521241040424121
61144135451412
7126665145431
oct25026622400
97254783048
102824545536
11121a42295a
12669b26b68
13360242627
141cb1b3488
15117e875ab
hexa85b2500

2824545536 has 72 divisors (see below), whose sum is σ = 5781494880. Its totient is φ = 1376700416.

The previous prime is 2824545533. The next prime is 2824545547. The reversal of 2824545536 is 6355454282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824545533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428091 + ... + 2429253.

It is an arithmetic number, because the mean of its divisors is an integer number (80298540).

Almost surely, 22824545536 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 2824545536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890747440).

2824545536 is an abundant number, since it is smaller than the sum of its proper divisors (2956949344).

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

2824545536 is a wasteful number, since it uses less digits than its factorization.

2824545536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1397 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 44.

The square root of 2824545536 is about 53146.4536540304. The cubic root of 2824545536 is about 1413.5663347510.

The spelling of 2824545536 in words is "two billion, eight hundred twenty-four million, five hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 179 212 256 358 424 716 848 1163 1432 1696 2326 2864 3392 4652 5728 6784 9304 9487 11456 13568 18608 18974 22912 37216 37948 45824 61639 74432 75896 123278 148864 151792 208177 246556 297728 303584 416354 493112 607168 832708 986224 1214336 1665416 1972448 2428672 3330832 3944896 6661664 7889792 11033381 13323328 15779584 22066762 26646656 44133524 53293312 88267048 176534096 353068192 706136384 1412272768 2824545536