Search a number
-
+
550090112 = 27111341733
BaseRepresentation
bin100000110010011…
…011010110000000
31102100002110202212
4200302123112000
52111310340422
6130330201252
716426455155
oct4062332600
91370073685
10550090112
11262569930
12134283228
1389c72510
14530b422c
153345e9e2
hex20c9b580

550090112 has 128 divisors (see below), whose sum is σ = 1320671520. Its totient is φ = 224870400.

The previous prime is 550090111. The next prime is 550090139. The reversal of 550090112 is 211090055.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550090111) 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 15 ways as a sum of consecutive naturals, for example, 750098 + ... + 750830.

Almost surely, 2550090112 is an apocalyptic number.

550090112 is a gapful number since it is divisible by the number (52) 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 550090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660335760).

550090112 is an abundant number, since it is smaller than the sum of its proper divisors (770581408).

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

550090112 is a wasteful number, since it uses less digits than its factorization.

550090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 550090112 is about 23453.9999147267. Note that the first 4 decimals coincide. The cubic root of 550090112 is about 819.3660140228.

The spelling of 550090112 in words is "five hundred fifty million, ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 64 82 88 104 128 143 164 176 208 286 328 352 416 451 533 572 656 704 733 832 902 1066 1144 1312 1408 1466 1664 1804 2132 2288 2624 2932 3608 4264 4576 5248 5863 5864 7216 8063 8528 9152 9529 11726 11728 14432 16126 17056 18304 19058 23452 23456 28864 30053 32252 34112 38116 46904 46912 57728 60106 64504 68224 76232 93808 93824 104819 120212 129008 152464 187616 209638 240424 258016 304928 330583 375232 390689 419276 480848 516032 609856 661166 750464 781378 838552 961696 1032064 1219712 1322332 1562756 1677104 1923392 2644664 3125512 3354208 3846784 4297579 5289328 6251024 6708416 8595158 10578656 12502048 13416832 17190316 21157312 25004096 34380632 42314624 50008192 68761264 137522528 275045056 550090112