Search a number
-
+
538360368 = 243713592089
BaseRepresentation
bin100000000101101…
…011101000110000
31101112000112120220
4200011223220300
52100310012433
6125230533040
716224662520
oct4005535060
91345015526
10538360368
11256988127
12130367180
13876c6540
14516dd680
15323e42b3
hex2016ba30

538360368 has 160 divisors (see below), whose sum is σ = 1741555200. Its totient is φ = 139511808.

The previous prime is 538360367. The next prime is 538360391. The reversal of 538360368 is 863063835.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (538360367) 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 31 ways as a sum of consecutive naturals, for example, 256668 + ... + 258756.

It is an arithmetic number, because the mean of its divisors is an integer number (10884720).

Almost surely, 2538360368 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 538360368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870777600).

538360368 is an abundant number, since it is smaller than the sum of its proper divisors (1203194832).

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

538360368 is a wasteful number, since it uses less digits than its factorization.

538360368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 538360368 is about 23202.5939929138. The cubic root of 538360368 is about 813.5002556857.

The spelling of 538360368 in words is "five hundred thirty-eight million, three hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 59 78 84 91 104 112 118 156 168 177 182 208 236 273 312 336 354 364 413 472 546 624 708 728 767 826 944 1092 1239 1416 1456 1534 1652 2089 2184 2301 2478 2832 3068 3304 4178 4368 4602 4956 5369 6136 6267 6608 8356 9204 9912 10738 12272 12534 14623 16107 16712 18408 19824 21476 25068 27157 29246 32214 33424 36816 42952 43869 50136 54314 58492 64428 81471 85904 87738 100272 108628 116984 123251 128856 162942 175476 190099 217256 233968 246502 257712 325884 350952 369753 380198 434512 493004 570297 651768 701904 739506 760396 862757 986008 1140594 1303536 1479012 1520792 1602263 1725514 1972016 2281188 2588271 2958024 3041584 3204526 3451028 4562376 4806789 5176542 5916048 6409052 6902056 9124752 9613578 10353084 11215841 12818104 13804112 19227156 20706168 22431682 25636208 33647523 38454312 41412336 44863364 67295046 76908624 89726728 134590092 179453456 269180184 538360368