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55163808 = 2533721303
BaseRepresentation
bin1101001001101…
…1101110100000
310211210121112000
43102123232200
5103110220213
65250204000
71236612300
oct322335640
9124717460
1055163808
1129158427
1216583600
13b57590b
14747d600
154c99c73
hex349bba0

55163808 has 144 divisors (see below), whose sum is σ = 187306560. Its totient is φ = 15748992.

The previous prime is 55163807. The next prime is 55163833. The reversal of 55163808 is 80836155.

55163808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (55163807) by changing a digit.

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, 41685 + ... + 42987.

It is an arithmetic number, because the mean of its divisors is an integer number (1300740).

Almost surely, 255163808 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 55163808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93653280).

55163808 is an abundant number, since it is smaller than the sum of its proper divisors (132142752).

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

55163808 is a wasteful number, since it uses less digits than its factorization.

55163808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 55163808 is about 7427.2342093137. The cubic root of 55163808 is about 380.6724197757.

The spelling of 55163808 in words is "fifty-five million, one hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1303 1323 1512 1568 1764 2016 2352 2606 2646 3024 3528 3909 4704 5212 5292 6048 7056 7818 9121 10424 10584 11727 14112 15636 18242 20848 21168 23454 27363 31272 35181 36484 41696 42336 46908 54726 62544 63847 70362 72968 82089 93816 109452 125088 127694 140724 145936 164178 187632 191541 218904 246267 255388 281448 291872 328356 375264 383082 437808 492534 510776 562896 574623 656712 766164 875616 985068 1021552 1125792 1149246 1313424 1532328 1723869 1970136 2043104 2298492 2626848 3064656 3447738 3940272 4596984 6129312 6895476 7880544 9193968 13790952 18387936 27581904 55163808