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55786896 = 24321141859
BaseRepresentation
bin1101010011001…
…1110110010000
310212222021020100
43110303312100
5103240140041
65311412400
71245116004
oct324636620
9125867210
1055786896
1129543580
1216824100
13b7333c9
1475a2704
154d6e6b6
hex3533d90

55786896 has 120 divisors (see below), whose sum is σ = 174676320. Its totient is φ = 16473600.

The previous prime is 55786883. The next prime is 55786933. The reversal of 55786896 is 69868755.

55786896 is a `hidden beast` number, since 5 + 578 + 68 + 9 + 6 = 666.

55786896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557868962 = 6224355530629632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64515 + ... + 65373.

It is an arithmetic number, because the mean of its divisors is an integer number (1455636).

Almost surely, 255786896 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 55786896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87338160).

55786896 is an abundant number, since it is smaller than the sum of its proper divisors (118889424).

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

55786896 is a wasteful number, since it uses less digits than its factorization.

55786896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 55786896 is about 7469.0625917849. The cubic root of 55786896 is about 382.1003181244.

The spelling of 55786896 in words is "fifty-five million, seven hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 41 44 48 66 72 82 88 99 123 132 144 164 176 198 246 264 328 369 396 451 492 528 656 738 792 859 902 984 1353 1476 1584 1718 1804 1968 2577 2706 2952 3436 3608 4059 5154 5412 5904 6872 7216 7731 8118 9449 10308 10824 13744 15462 16236 18898 20616 21648 28347 30924 32472 35219 37796 41232 56694 61848 64944 70438 75592 85041 105657 113388 123696 140876 151184 170082 211314 226776 281752 316971 340164 387409 422628 453552 563504 633942 680328 774818 845256 1162227 1267884 1360656 1549636 1690512 2324454 2535768 3099272 3486681 4648908 5071536 6198544 6973362 9297816 13946724 18595632 27893448 55786896