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54323424 = 25322359139
BaseRepresentation
bin1100111100111…
…0100011100000
310210012220201200
43033032203200
5102401322144
65220201200
71226512221
oct317164340
9123186650
1054323424
1128733aa1
1216239200
13b34024c
147301248
154b80c69
hex33ce8e0

54323424 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 16904448.

The previous prime is 54323419. The next prime is 54323431. The reversal of 54323424 is 42432345.

54323424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 390747 + ... + 390885.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 254323424 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 54323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

54323424 is an abundant number, since it is smaller than the sum of its proper divisors (110786976).

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

54323424 is a wasteful number, since it uses less digits than its factorization.

54323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 54323424 is about 7370.4425918665. The cubic root of 54323424 is about 378.7294221412.

Adding to 54323424 its reverse (42432345), we get a palindrome (96755769).

The spelling of 54323424 in words is "fifty-four million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 59 69 72 92 96 118 138 139 144 177 184 207 236 276 278 288 354 368 414 417 472 531 552 556 708 736 828 834 944 1062 1104 1112 1251 1357 1416 1656 1668 1888 2124 2208 2224 2502 2714 2832 3197 3312 3336 4071 4248 4448 5004 5428 5664 6394 6624 6672 8142 8201 8496 9591 10008 10856 12213 12788 13344 16284 16402 16992 19182 20016 21712 24426 24603 25576 28773 32568 32804 38364 40032 43424 48852 49206 51152 57546 65136 65608 73809 76728 97704 98412 102304 115092 130272 131216 147618 153456 188623 195408 196824 230184 262432 295236 306912 377246 390816 393648 460368 565869 590472 754492 787296 920736 1131738 1180944 1508984 1697607 2263476 2361888 3017968 3395214 4526952 6035936 6790428 9053904 13580856 18107808 27161712 54323424