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55781856 = 25321347317
BaseRepresentation
bin1101010011001…
…0100111100000
310212222000022200
43110302213200
5103240004411
65311333200
71245065214
oct324624740
9125860280
1055781856
112953a809
1216821200
13b731020
1475a0944
154d6ce56
hex35329e0

55781856 has 144 divisors (see below), whose sum is σ = 175017024. Its totient is φ = 16745472.

The previous prime is 55781849. The next prime is 55781857. The reversal of 55781856 is 65818755.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×557818562 = 6223230917609472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55781857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175810 + ... + 176126.

It is an arithmetic number, because the mean of its divisors is an integer number (1215396).

Almost surely, 255781856 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 55781856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87508512).

55781856 is an abundant number, since it is smaller than the sum of its proper divisors (119235168).

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

55781856 is a wasteful number, since it uses less digits than its factorization.

55781856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

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

The square root of 55781856 is about 7468.7251924274. The cubic root of 55781856 is about 382.0888109800.

The spelling of 55781856 in words is "fifty-five million, seven hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 72 78 94 96 104 117 141 144 156 188 208 234 282 288 312 317 376 416 423 468 564 611 624 634 752 846 936 951 1128 1222 1248 1268 1504 1692 1833 1872 1902 2256 2444 2536 2853 3384 3666 3744 3804 4121 4512 4888 5072 5499 5706 6768 7332 7608 8242 9776 10144 10998 11412 12363 13536 14664 14899 15216 16484 19552 21996 22824 24726 29328 29798 30432 32968 37089 43992 44697 45648 49452 58656 59596 65936 74178 87984 89394 91296 98904 119192 131872 134091 148356 175968 178788 193687 197808 238384 268182 296712 357576 387374 395616 476768 536364 581061 593424 715152 774748 1072728 1162122 1186848 1430304 1549496 1743183 2145456 2324244 3098992 3486366 4290912 4648488 6197984 6972732 9296976 13945464 18593952 27890928 55781856