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54885168 = 24331329337
BaseRepresentation
bin1101000101011…
…1101100110000
310211021110022000
43101113230300
5103022311133
65240214000
71234342032
oct321275460
9124243260
1054885168
1128a88048
121646a300
13b4a8b40
147409c52
154c42413
hex3457b30

54885168 has 160 divisors (see below), whose sum is σ = 176030400. Its totient is φ = 16257024.

The previous prime is 54885151. The next prime is 54885191. The reversal of 54885168 is 86158845.

54885168 is a `hidden beast` number, since 5 + 488 + 5 + 168 = 666.

54885168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (307200) is a multiple of the sum of its prime divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 162696 + ... + 163032.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 254885168 is an apocalyptic number.

54885168 is a gapful number since it is divisible by the number (58) 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 54885168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015200).

54885168 is an abundant number, since it is smaller than the sum of its proper divisors (121145232).

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

54885168 is a wasteful number, since it uses less digits than its factorization.

54885168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 54885168 is about 7408.4524699832. The cubic root of 54885168 is about 380.0303946140.

The spelling of 54885168 in words is "fifty-four million, eight hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 337 348 351 377 432 464 468 522 624 674 696 702 754 783 936 1011 1044 1131 1348 1392 1404 1508 1566 1872 2022 2088 2262 2696 2808 3016 3033 3132 3393 4044 4176 4381 4524 5392 5616 6032 6066 6264 6786 8088 8762 9048 9099 9773 10179 12132 12528 13143 13572 16176 17524 18096 18198 19546 20358 24264 26286 27144 29319 35048 36396 39092 39429 40716 48528 52572 54288 58638 70096 72792 78184 78858 81432 87957 105144 117276 118287 127049 145584 156368 157716 162864 175914 210288 234552 236574 254098 263871 315432 351828 381147 469104 473148 508196 527742 630864 703656 762294 946296 1016392 1055484 1143441 1407312 1524588 1892592 2032784 2110968 2286882 3049176 3430323 4221936 4573764 6098352 6860646 9147528 13721292 18295056 27442584 54885168