Search a number
-
+
555726420 = 22355293943
BaseRepresentation
bin100001000111111…
…011011001010100
31102201200211100000
4201013323121110
52114231221140
6131051051300
716525411434
oct4107733124
91381624300
10555726420
11265769537
12136140b30
138b196b02
1453b402c4
1533bc4a30
hex211fb654

555726420 has 144 divisors (see below), whose sum is σ = 1808876160. Its totient is φ = 143047296.

The previous prime is 555726419. The next prime is 555726427. The reversal of 555726420 is 24627555.

555726420 is a `hidden beast` number, since 5 + 5 + 5 + 7 + 2 + 642 + 0 = 666.

555726420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (555726427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138969 + ... + 142911.

It is an arithmetic number, because the mean of its divisors is an integer number (12561640).

Almost surely, 2555726420 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 555726420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904438080).

555726420 is an abundant number, since it is smaller than the sum of its proper divisors (1253149740).

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

555726420 is a wasteful number, since it uses less digits than its factorization.

555726420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 555726420 is about 23573.8503431238. The cubic root of 555726420 is about 822.1549603961.

The spelling of 555726420 in words is "five hundred fifty-five million, seven hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 3943 4698 4860 5220 7047 7830 7886 9396 11745 11829 14094 15660 15772 19715 23490 23658 28188 35235 35487 39430 46980 47316 59145 70470 70974 78860 106461 114347 118290 140940 141948 177435 212922 228694 236580 319383 343041 354870 425844 457388 532305 571735 638766 686082 709740 958149 1029123 1064610 1143470 1277532 1372164 1596915 1715205 1916298 2058246 2129220 2286940 3087369 3193830 3430410 3832596 4116492 4790745 5145615 6174738 6387660 6860820 9262107 9581490 10291230 12349476 15436845 18524214 19162980 20582460 27786321 30873690 37048428 46310535 55572642 61747380 92621070 111145284 138931605 185242140 277863210 555726420