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54283728 = 243311912
BaseRepresentation
bin1100111100010…
…0110111010000
310210010220021110
43033010313100
5102344034403
65215253320
71226255412
oct317046720
9123126243
1054283728
1128707194
121621a240
13b328165
1472d09b2
154b74103
hex33c4dd0

54283728 has 60 divisors (see below), whose sum is σ = 145518464. Its totient is φ = 17419200.

The previous prime is 54283711. The next prime is 54283729. The reversal of 54283728 is 82738245.

54283728 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 not an unprimeable number, because it can be changed into a prime (54283729) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 284113 + ... + 284303.

Almost surely, 254283728 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 54283728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72759232).

54283728 is an abundant number, since it is smaller than the sum of its proper divisors (91234736).

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

54283728 is a wasteful number, since it uses less digits than its factorization.

54283728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 227 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 54283728 is about 7367.7491813986. The cubic root of 54283728 is about 378.6371494438.

The spelling of 54283728 in words is "fifty-four million, two hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 191 248 372 382 496 573 744 764 1146 1488 1528 2292 3056 4584 5921 9168 11842 17763 23684 35526 36481 47368 71052 72962 94736 109443 142104 145924 218886 284208 291848 437772 583696 875544 1130911 1751088 2261822 3392733 4523644 6785466 9047288 13570932 18094576 27141864 54283728