Search a number
-
+
54544380 = 2235113683
BaseRepresentation
bin1101000000010…
…0011111111100
310210122010211020
43100010133330
5102430410010
65225024140
71231422342
oct320043774
9123563736
1054544380
1128875000
1216325050
13b3b99a7
14735b992
154bc6470
hex34047fc

54544380 has 96 divisors (see below), whose sum is σ = 168231168. Its totient is φ = 13203520.

The previous prime is 54544351. The next prime is 54544397. The reversal of 54544380 is 8344545.

54544380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 79519 + ... + 80201.

It is an arithmetic number, because the mean of its divisors is an integer number (1752408).

Almost surely, 254544380 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 54544380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84115584).

54544380 is an abundant number, since it is smaller than the sum of its proper divisors (113686788).

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

54544380 is a wasteful number, since it uses less digits than its factorization.

54544380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 54544380 is about 7385.4167113305. The cubic root of 54544380 is about 379.2422109805.

The spelling of 54544380 in words is "fifty-four million, five hundred forty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 683 726 1210 1331 1366 1452 1815 2049 2420 2662 2732 3415 3630 3993 4098 5324 6655 6830 7260 7513 7986 8196 10245 13310 13660 15026 15972 19965 20490 22539 26620 30052 37565 39930 40980 45078 75130 79860 82643 90156 112695 150260 165286 225390 247929 330572 413215 450780 495858 826430 909073 991716 1239645 1652860 1818146 2479290 2727219 3636292 4545365 4958580 5454438 9090730 10908876 13636095 18181460 27272190 54544380