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50041728 = 2732112359
BaseRepresentation
bin1011111011100…
…1001110000000
310111011101100100
42332321032000
5100302313403
64544322400
71145230152
oct276711600
9114141310
1050041728
112627a100
1214913400
13a4a13b9
146908ad2
1545d72a3
hex2fb9380

50041728 has 144 divisors (see below), whose sum is σ = 158722200. Its totient is φ = 15121920.

The previous prime is 50041703. The next prime is 50041729. The reversal of 50041728 is 82714005.

50041728 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 not an unprimeable number, because it can be changed into a prime (50041729) 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 17 ways as a sum of consecutive naturals, for example, 139213 + ... + 139571.

Almost surely, 250041728 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 50041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79361100).

50041728 is an abundant number, since it is smaller than the sum of its proper divisors (108680472).

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

50041728 is a wasteful number, since it uses less digits than its factorization.

50041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 50041728 is about 7074.0178116824. The cubic root of 50041728 is about 368.5056062116.

The spelling of 50041728 in words is "fifty million, forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 359 363 384 396 484 528 576 704 718 726 792 968 1056 1077 1089 1152 1408 1436 1452 1584 1936 2112 2154 2178 2872 2904 3168 3231 3872 3949 4224 4308 4356 5744 5808 6336 6462 7744 7898 8616 8712 11488 11616 11847 12672 12924 15488 15796 17232 17424 22976 23232 23694 25848 31592 34464 34848 35541 43439 45952 46464 47388 51696 63184 68928 69696 71082 86878 94776 103392 126368 130317 137856 139392 142164 173756 189552 206784 252736 260634 284328 347512 379104 390951 413568 505472 521268 568656 695024 758208 781902 1042536 1137312 1390048 1516416 1563804 2085072 2274624 2780096 3127608 4170144 4549248 5560192 6255216 8340288 12510432 16680576 25020864 50041728