Search a number
-
+
54324144 = 2432727699
BaseRepresentation
bin1100111100111…
…0101110110000
310210012221201100
43033032232300
5102401333034
65220204400
71226514300
oct317165660
9123187640
1054324144
1128734596
1216239700
13b340684
147301600
154b81099
hex33cebb0

54324144 has 90 divisors (see below), whose sum is σ = 176876700. Its totient is φ = 15519168.

The previous prime is 54324143. The next prime is 54324161. The reversal of 54324144 is 44142345.

It is a happy number.

It is a super-2 number, since 2×543241442 = 5902225242665472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54324143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3207 + ... + 10905.

Almost surely, 254324144 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 54324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88438350).

54324144 is an abundant number, since it is smaller than the sum of its proper divisors (122552556).

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

54324144 is a wasteful number, since it uses less digits than its factorization.

54324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7727 (or 7711 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 54324144 is about 7370.4914354472. The cubic root of 54324144 is about 378.7310953542.

Adding to 54324144 its reverse (44142345), we get a palindrome (98466489).

The spelling of 54324144 in words is "fifty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7699 15398 23097 30796 46194 53893 61592 69291 92388 107786 123184 138582 161679 184776 215572 277164 323358 369552 377251 431144 485037 554328 646716 754502 862288 970074 1108656 1131753 1293432 1509004 1940148 2263506 2586864 3018008 3395259 3880296 4527012 6036016 6790518 7760592 9054024 13581036 18108048 27162072 54324144