Search a number
-
+
54499368 = 23372112383
BaseRepresentation
bin1100111111100…
…1100000101000
310210112212002010
43033321200220
5102422434433
65224035520
71231144200
oct317714050
9123485063
1054499368
1128844200
1216302ba0
13b3a2361
147349400
154bb7e63
hex33f9828

54499368 has 144 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 14118720.

The previous prime is 54499349. The next prime is 54499369. The reversal of 54499368 is 86399445.

54499368 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 2×544993682 = 5940362224798848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54499369) 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 35 ways as a sum of consecutive naturals, for example, 142105 + ... + 142487.

It is an arithmetic number, because the mean of its divisors is an integer number (1212960).

Almost surely, 254499368 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 54499368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

54499368 is an abundant number, since it is smaller than the sum of its proper divisors (120166872).

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

54499368 is a wasteful number, since it uses less digits than its factorization.

54499368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 54499368 is about 7382.3687255514. The cubic root of 54499368 is about 379.1378607965.

The spelling of 54499368 in words is "fifty-four million, four hundred ninety-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 383 392 462 484 539 588 616 726 766 847 924 968 1078 1149 1176 1452 1532 1617 1694 1848 2156 2298 2541 2681 2904 3064 3234 3388 4213 4312 4596 5082 5362 5929 6468 6776 8043 8426 9192 10164 10724 11858 12639 12936 16086 16852 17787 18767 20328 21448 23716 25278 29491 32172 33704 35574 37534 46343 47432 50556 56301 58982 64344 71148 75068 88473 92686 101112 112602 117964 139029 142296 150136 176946 185372 206437 225204 235928 278058 324401 353892 370744 412874 450408 556116 619311 648802 707784 825748 973203 1112232 1238622 1297604 1651496 1946406 2270807 2477244 2595208 3892812 4541614 4954488 6812421 7785624 9083228 13624842 18166456 27249684 54499368