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55786080 = 2535716603
BaseRepresentation
bin1101010011001…
…1101001100000
310212222020010010
43110303221200
5103240123310
65311404520
71245113430
oct324635140
9125866103
1055786080
11295429a9
1216823740
13b732c1c
1475a22c0
154d6e320
hex3533a60

55786080 has 96 divisors (see below), whose sum is σ = 200841984. Its totient is φ = 12750336.

The previous prime is 55786067. The next prime is 55786097. The reversal of 55786080 is 8068755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×557860803 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4942 + ... + 11661.

It is an arithmetic number, because the mean of its divisors is an integer number (2092104).

Almost surely, 255786080 is an apocalyptic number.

It is an amenable number.

55786080 is an abundant number, since it is smaller than the sum of its proper divisors (145055904).

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

55786080 is a wasteful number, since it uses less digits than its factorization.

55786080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16628 (or 16620 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 55786080 is about 7469.0079662563. The cubic root of 55786080 is about 382.0984551100.

The spelling of 55786080 in words is "fifty-five million, seven hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 16603 33206 49809 66412 83015 99618 116221 132824 166030 199236 232442 249045 265648 332060 348663 398472 464884 498090 531296 581105 664120 697326 796944 929768 996180 1162210 1328240 1394652 1593888 1743315 1859536 1992360 2324420 2656480 2789304 3486630 3719072 3984720 4648840 5578608 6973260 7969440 9297680 11157216 13946520 18595360 27893040 55786080