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54338466 = 23713234327
BaseRepresentation
bin1100111101001…
…0001110100010
310210020200100210
43033102032202
5102402312331
65220354550
71226604120
oct317221642
9123220323
1054338466
1128744326
1216245a56
13b347050
147306910
154b85446
hex33d23a2

54338466 has 64 divisors (see below), whose sum is σ = 139603968. Its totient is φ = 13704768.

The previous prime is 54338437. The next prime is 54338503. The reversal of 54338466 is 66483345.

54338466 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 (39).

It is a Curzon 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, 10395 + ... + 14721.

It is an arithmetic number, because the mean of its divisors is an integer number (2181312).

Almost surely, 254338466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54338466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69801984).

54338466 is an abundant number, since it is smaller than the sum of its proper divisors (85265502).

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

54338466 is a wasteful number, since it uses less digits than its factorization.

54338466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375.

The product of its digits is 207360, while the sum is 39.

The square root of 54338466 is about 7371.4629484248. The cubic root of 54338466 is about 378.7643752781.

The spelling of 54338466 in words is "fifty-four million, three hundred thirty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 4327 6279 8654 12558 12981 25962 30289 56251 60578 90867 99521 112502 168753 181734 199042 298563 337506 393757 597126 696647 787514 1181271 1293773 1393294 2089941 2362542 2587546 3881319 4179882 7762638 9056411 18112822 27169233 54338466