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550875816 = 233419101443
BaseRepresentation
bin100000110101011…
…011001010101000
31102101120101120000
4200311123022220
52112011011231
6130355103000
716436236641
oct4065331250
91371511500
10550875816
11262a56177
121345a1a60
138a18902a
145323a6c8
15335676e6
hex20d5b2a8

550875816 has 160 divisors (see below), whose sum is σ = 1643954400. Its totient is φ = 171849600.

The previous prime is 550875781. The next prime is 550875817. The reversal of 550875816 is 618578055.

550875816 is a `hidden beast` number, since 550 + 87 + 5 + 8 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (550875817) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1243291 + ... + 1243733.

It is an arithmetic number, because the mean of its divisors is an integer number (10274715).

Almost surely, 2550875816 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 550875816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821977200).

550875816 is an abundant number, since it is smaller than the sum of its proper divisors (1093078584).

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

550875816 is a wasteful number, since it uses less digits than its factorization.

550875816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 550875816 is about 23470.7438314170. The cubic root of 550875816 is about 819.7559337083.

The spelling of 550875816 in words is "five hundred fifty million, eight hundred seventy-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 101 108 114 152 162 171 202 216 228 303 324 342 404 443 456 513 606 648 684 808 886 909 1026 1212 1329 1368 1539 1772 1818 1919 2052 2424 2658 2727 3078 3544 3636 3838 3987 4104 5316 5454 5757 6156 7272 7676 7974 8181 8417 10632 10908 11514 11961 12312 15352 15948 16362 16834 17271 21816 23028 23922 25251 31896 32724 33668 34542 35883 44743 46056 47844 50502 51813 65448 67336 69084 71766 75753 89486 95688 101004 103626 134229 138168 143532 151506 155439 178972 202008 207252 227259 268458 287064 303012 310878 357944 402687 414504 454518 536916 606024 621756 681777 805374 850117 909036 1073832 1208061 1243512 1363554 1610748 1700234 1818072 2416122 2550351 2727108 3221496 3400468 3624183 4832244 5100702 5454216 6800936 7248366 7651053 9664488 10201404 14496732 15302106 20402808 22953159 28993464 30604212 45906318 61208424 68859477 91812636 137718954 183625272 275437908 550875816