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54028728 = 23331371271
BaseRepresentation
bin1100111000011…
…0100110111000
310202122221111000
43032012212320
5102312404403
65210005000
71224144105
oct316064670
9122587430
1054028728
1128552646
1216116760
13b269080
147265aac
154b237a3
hex33869b8

54028728 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 16329600.

The previous prime is 54028673. The next prime is 54028729. The reversal of 54028728 is 82782045.

It is a happy number.

54028728 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 54028692 and 54028701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54028729) 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 31 ways as a sum of consecutive naturals, for example, 199233 + ... + 199503.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 254028728 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 54028728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

54028728 is an abundant number, since it is smaller than the sum of its proper divisors (110476872).

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

54028728 is a wasteful number, since it uses less digits than its factorization.

54028728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54028728 is about 7350.4236612593. The cubic root of 54028728 is about 378.0433308856.

It can be divided in two parts, 54028 and 728, that added together give a square (54756 = 2342).

The spelling of 54028728 in words is "fifty-four million, twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 71 72 78 104 108 117 142 156 213 216 234 271 284 312 351 426 468 542 568 639 702 813 852 923 936 1084 1278 1404 1626 1704 1846 1917 2168 2439 2556 2769 2808 3252 3523 3692 3834 4878 5112 5538 6504 7046 7317 7384 7668 8307 9756 10569 11076 14092 14634 15336 16614 19241 19512 21138 22152 24921 28184 29268 31707 33228 38482 42276 49842 57723 58536 63414 66456 76964 84552 95121 99684 115446 126828 153928 173169 190242 199368 230892 250133 253656 346338 380484 461784 500266 519507 692676 750399 760968 1000532 1039014 1385352 1500798 2001064 2078028 2251197 3001596 4156056 4502394 6003192 6753591 9004788 13507182 18009576 27014364 54028728