Search a number
-
+
28821780 = 2232513109113
BaseRepresentation
bin110110111110…
…0100100010100
32000020022001100
41231330210110
524334244110
62505430100
7466660341
oct155744424
960208040
1028821780
11152a6259
12979b330
135c81910
143b837c8
1527e4bc0
hex1b7c914

28821780 has 144 divisors (see below), whose sum is σ = 95855760. Its totient is φ = 6967296.

The previous prime is 28821773. The next prime is 28821781. The reversal of 28821780 is 8712882.

It can be written as a sum of positive squares in 8 ways, for example, as 6411024 + 22410756 = 2532^2 + 4734^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28821781) 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 47 ways as a sum of consecutive naturals, for example, 255004 + ... + 255116.

It is an arithmetic number, because the mean of its divisors is an integer number (665665).

Almost surely, 228821780 is an apocalyptic number.

28821780 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 28821780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47927880).

28821780 is an abundant number, since it is smaller than the sum of its proper divisors (67033980).

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

28821780 is a wasteful number, since it uses less digits than its factorization.

28821780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 28821780 is about 5368.5919941825. The cubic root of 28821780 is about 306.6010230217.

The spelling of 28821780 in words is "twenty-eight million, eight hundred twenty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 109 113 117 130 156 180 195 218 226 234 260 327 339 390 436 452 468 545 565 585 654 678 780 981 1017 1090 1130 1170 1308 1356 1417 1469 1635 1695 1962 2034 2180 2260 2340 2834 2938 3270 3390 3924 4068 4251 4407 4905 5085 5668 5876 6540 6780 7085 7345 8502 8814 9810 10170 12317 12753 13221 14170 14690 17004 17628 19620 20340 21255 22035 24634 25506 26442 28340 29380 36951 42510 44070 49268 51012 52884 61585 63765 66105 73902 85020 88140 110853 123170 127530 132210 147804 160121 184755 221706 246340 255060 264420 320242 369510 443412 480363 554265 640484 739020 800605 960726 1108530 1441089 1601210 1921452 2217060 2401815 2882178 3202420 4803630 5764356 7205445 9607260 14410890 28821780