Search a number
-
+
866353152 = 215371259
BaseRepresentation
bin110011101000111…
…000000000000000
32020101012022002210
4303220320000000
53233241300102
6221544542120
730316610640
oct6350700000
92211168083
10866353152
11405040a45
12202181940
1310a645802
14830bc520
15510d236c
hex33a38000

866353152 has 128 divisors (see below), whose sum is σ = 2642371200. Its totient is φ = 247332864.

The previous prime is 866353139. The next prime is 866353157. The reversal of 866353152 is 251353668.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 866353152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866353157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687499 + ... + 688757.

It is an arithmetic number, because the mean of its divisors is an integer number (20643525).

Almost surely, 2866353152 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 866353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321185600).

866353152 is an abundant number, since it is smaller than the sum of its proper divisors (1776018048).

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

866353152 is an equidigital number, since it uses as much as digits as its factorization.

866353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1271 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 866353152 is about 29433.8776242615. The cubic root of 866353152 is about 953.3045223605.

The spelling of 866353152 in words is "eight hundred sixty-six million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1259 1344 1536 1792 2048 2518 2688 3072 3584 3777 4096 5036 5376 6144 7168 7554 8192 8813 10072 10752 12288 14336 15108 16384 17626 20144 21504 24576 26439 28672 30216 32768 35252 40288 43008 49152 52878 57344 60432 70504 80576 86016 98304 105756 114688 120864 141008 161152 172032 211512 229376 241728 282016 322304 344064 423024 483456 564032 644608 688128 846048 966912 1128064 1289216 1692096 1933824 2256128 2578432 3384192 3867648 4512256 5156864 6768384 7735296 9024512 10313728 13536768 15470592 18049024 20627456 27073536 30941184 36098048 41254912 54147072 61882368 72196096 108294144 123764736 144392192 216588288 288784384 433176576 866353152