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551105856 = 2634715187
BaseRepresentation
bin100000110110010…
…011010101000000
31102102000002010000
4200312103111000
52112040341411
6130404040000
716441215420
oct4066232500
91372002100
10551105856
112630a2a94
12134693000
138a239952
145329a480
15335b0956
hex20d93540

551105856 has 140 divisors (see below), whose sum is σ = 1867151968. Its totient is φ = 157448448.

The previous prime is 551105839. The next prime is 551105869. The reversal of 551105856 is 658501155.

551105856 is a `hidden beast` number, since 551 + 1 + 0 + 58 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 551105856.

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 19 ways as a sum of consecutive naturals, for example, 28695 + ... + 43881.

Almost surely, 2551105856 is an apocalyptic number.

551105856 is a gapful number since it is divisible by the number (56) 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 551105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933575984).

551105856 is an abundant number, since it is smaller than the sum of its proper divisors (1316046112).

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

551105856 is a wasteful number, since it uses less digits than its factorization.

551105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15218 (or 15199 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The square root of 551105856 is about 23475.6438889331. The cubic root of 551105856 is about 819.8700250070.

The spelling of 551105856 in words is "five hundred fifty-one million, one hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 15187 18144 30374 36288 45561 60748 91122 106309 121496 136683 182244 212618 242992 273366 318927 364488 410049 425236 485984 546732 637854 728976 820098 850472 956781 971968 1093464 1230147 1275708 1457952 1640196 1700944 1913562 2186928 2460294 2551416 2870343 2915904 3280392 3401888 3827124 4373856 4920588 5102832 5740686 6560784 6803776 7654248 8611029 8747712 9841176 10205664 11481372 13121568 15308496 17222058 19682352 20411328 22962744 26243136 30616992 34444116 39364704 45925488 61233984 68888232 78729408 91850976 137776464 183701952 275552928 551105856