[go: up one dir, main page]

Search a number
-
+
28228704 = 2537217353
BaseRepresentation
bin110101110101…
…1110001100000
31222010011111120
41223223301200
524211304304
62445012240
7461640300
oct153536140
958104446
1028228704
1114a30709
129554080
135b0499a
143a6b600
1527290d9
hex1aebc60

28228704 has 144 divisors (see below), whose sum is σ = 91527408. Its totient is φ = 7569408.

The previous prime is 28228691. The next prime is 28228709. The reversal of 28228704 is 40782282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28228709) 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 23 ways as a sum of consecutive naturals, for example, 79792 + ... + 80144.

It is an arithmetic number, because the mean of its divisors is an integer number (635607).

Almost surely, 228228704 is an apocalyptic number.

28228704 is a gapful number since it is divisible by the number (24) 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 28228704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45763704).

28228704 is an abundant number, since it is smaller than the sum of its proper divisors (63298704).

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

28228704 is a wasteful number, since it uses less digits than its factorization.

28228704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 28228704 is about 5313.0691695102. The cubic root of 28228704 is about 304.4834183070.

The spelling of 28228704 in words is "twenty-eight million, two hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 353 357 392 408 476 544 588 672 706 714 784 816 833 952 1059 1176 1412 1428 1568 1632 1666 1904 2118 2352 2471 2499 2824 2856 3332 3808 4236 4704 4942 4998 5648 5712 6001 6664 7413 8472 9884 9996 11296 11424 12002 13328 14826 16944 17297 18003 19768 19992 24004 26656 29652 33888 34594 36006 39536 39984 42007 48008 51891 59304 69188 72012 79072 79968 84014 96016 103782 118608 126021 138376 144024 168028 192032 207564 237216 252042 276752 288048 294049 336056 415128 504084 553504 576096 588098 672112 830256 882147 1008168 1176196 1344224 1660512 1764294 2016336 2352392 3528588 4032672 4704784 7057176 9409568 14114352 28228704