Search a number
-
+
54497168 = 24111943379
BaseRepresentation
bin1100111111100…
…0111110010000
310210112202001122
43033320332100
5102422402133
65224021412
71231134605
oct317707620
9123482048
1054497168
1128842590
1216301868
13b3a135b
1473486ac
154bb7498
hex33f8f90

54497168 has 80 divisors (see below), whose sum is σ = 124396800. Its totient is φ = 22861440.

The previous prime is 54497167. The next prime is 54497171. The reversal of 54497168 is 86179445.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (54497161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143603 + ... + 143981.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 254497168 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 54497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62198400).

54497168 is an abundant number, since it is smaller than the sum of its proper divisors (69899632).

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

54497168 is a wasteful number, since it uses less digits than its factorization.

54497168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 54497168 is about 7382.2197203822. The cubic root of 54497168 is about 379.1327591195.

The spelling of 54497168 in words is "fifty-four million, four hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 43 44 76 86 88 152 172 176 209 304 344 379 418 473 688 758 817 836 946 1516 1634 1672 1892 3032 3268 3344 3784 4169 6064 6536 7201 7568 8338 8987 13072 14402 16297 16676 17974 28804 32594 33352 35948 57608 65188 66704 71896 79211 115216 130376 143792 158422 179267 260752 309643 316844 358534 619286 633688 717068 1238572 1267376 1434136 2477144 2868272 3406073 4954288 6812146 13624292 27248584 54497168