Search a number
-
+
54144540 = 223252331291
BaseRepresentation
bin1100111010001…
…0111000011100
310202212211100100
43032202320130
5102330111130
65212301100
71225135542
oct316427034
9122784310
1054144540
112862165a
1216171790
13b2a99b8
147295d92
154b47c60
hex33a2e1c

54144540 has 72 divisors (see below), whose sum is σ = 165071088. Its totient is φ = 14365440.

The previous prime is 54144491. The next prime is 54144581. The reversal of 54144540 is 4544145.

54144540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 41295 + ... + 42585.

It is an arithmetic number, because the mean of its divisors is an integer number (2292654).

Almost surely, 254144540 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 54144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82535544).

54144540 is an abundant number, since it is smaller than the sum of its proper divisors (110926548).

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

54144540 is a wasteful number, since it uses less digits than its factorization.

54144540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 54144540 is about 7358.2973574054. The cubic root of 54144540 is about 378.3132533908.

Adding to 54144540 its reverse (4544145), we get a palindrome (58688685).

The spelling of 54144540 in words is "fifty-four million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1291 1398 2097 2330 2582 2796 3495 3873 4194 4660 5164 6455 6990 7746 8388 10485 11619 12910 13980 15492 19365 20970 23238 25820 38730 41940 46476 58095 77460 116190 232380 300803 601606 902409 1203212 1504015 1804818 2707227 3008030 3609636 4512045 5414454 6016060 9024090 10828908 13536135 18048180 27072270 54144540