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54032384 = 21173769
BaseRepresentation
bin1100111000011…
…1100000000000
310202200010111102
43032013200000
5102313014014
65210033532
71224160550
oct316074000
9122603442
1054032384
112855536a
12161188a8
13b26a933
147267160
154b248de
hex3387800

54032384 has 48 divisors (see below), whose sum is σ = 123505200. Its totient is φ = 23150592.

The previous prime is 54032369. The next prime is 54032393. The reversal of 54032384 is 48323045.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12452 + ... + 16220.

It is an arithmetic number, because the mean of its divisors is an integer number (2573025).

Almost surely, 254032384 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 54032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61752600).

54032384 is an abundant number, since it is smaller than the sum of its proper divisors (69472816).

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

54032384 is an equidigital number, since it uses as much as digits as its factorization.

54032384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 54032384 is about 7350.6723502004. The cubic root of 54032384 is about 378.0518578014.

The spelling of 54032384 in words is "fifty-four million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 3769 7168 7538 14336 15076 26383 30152 52766 60304 105532 120608 211064 241216 422128 482432 844256 964864 1688512 1929728 3377024 3859456 6754048 7718912 13508096 27016192 54032384