Search a number
-
+
556353820 = 2251119167797
BaseRepresentation
bin100001001010010…
…100100100011100
31102202212200222001
4201022110210130
52114411310240
6131112332044
716533633541
oct4112244434
91382780861
10556353820
11266057950
121363a4024
138b356559
1453c64bc8
1533c9a89a
hex2129491c

556353820 has 96 divisors (see below), whose sum is σ = 1351365120. Its totient is φ = 190275840.

The previous prime is 556353817. The next prime is 556353859. The reversal of 556353820 is 28353655.

It is a self number, because there is not a number n which added to its sum of digits gives 556353820.

It is a congruent number.

It is an unprimeable number.

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, 697662 + ... + 698458.

It is an arithmetic number, because the mean of its divisors is an integer number (14076720).

Almost surely, 2556353820 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 556353820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675682560).

556353820 is an abundant number, since it is smaller than the sum of its proper divisors (795011300).

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

556353820 is a wasteful number, since it uses less digits than its factorization.

556353820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 556353820 is about 23587.1537070499. The cubic root of 556353820 is about 822.4642408920.

The spelling of 556353820 in words is "five hundred fifty-six million, three hundred fifty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 167 190 209 220 334 380 418 668 797 835 836 1045 1594 1670 1837 2090 3173 3188 3340 3674 3985 4180 6346 7348 7970 8767 9185 12692 15143 15865 15940 17534 18370 30286 31730 34903 35068 36740 43835 60572 63460 69806 75715 87670 133099 139612 151430 166573 174515 175340 266198 302860 333146 349030 532396 665495 666292 698060 832865 1330990 1464089 1665730 2528881 2661980 2928178 3331460 5057762 5856356 7320445 10115524 12644405 14640890 25288810 27817691 29281780 50577620 55635382 111270764 139088455 278176910 556353820