[go: up one dir, main page]

Search a number
-
+
28457520 = 24357131303
BaseRepresentation
bin110110010001…
…1101000110000
31222112210101020
41230203220300
524241120040
62453535440
7463612350
oct154435060
958483336
1028457520
1115077613
129644580
135b84b90
143acab60
152771cd0
hex1b23a30

28457520 has 160 divisors (see below), whose sum is σ = 108659712. Its totient is φ = 5999616.

The previous prime is 28457501. The next prime is 28457531. The reversal of 28457520 is 2575482.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21189 + ... + 22491.

Almost surely, 228457520 is an apocalyptic number.

28457520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28457520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54329856).

28457520 is an abundant number, since it is smaller than the sum of its proper divisors (80202192).

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

28457520 is a wasteful number, since it uses less digits than its factorization.

28457520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 28457520 is about 5334.5590258240. The cubic root of 28457520 is about 305.3038984781.

The spelling of 28457520 in words is "twenty-eight million, four hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1303 1365 1456 1560 1680 1820 2184 2606 2730 3120 3640 3909 4368 5212 5460 6515 7280 7818 9121 10424 10920 13030 15636 16939 18242 19545 20848 21840 26060 27363 31272 33878 36484 39090 45605 50817 52120 54726 62544 67756 72968 78180 84695 91210 101634 104240 109452 118573 135512 136815 145936 156360 169390 182420 203268 218904 237146 254085 271024 273630 312720 338780 355719 364840 406536 437808 474292 508170 547260 592865 677560 711438 729680 813072 948584 1016340 1094520 1185730 1355120 1422876 1778595 1897168 2032680 2189040 2371460 2845752 3557190 4065360 4742920 5691504 7114380 9485840 14228760 28457520