Search a number
-
+
28675358244 = 22321341672
BaseRepresentation
bin11010101101001011…
…110011111000100100
32202000102202010111100
4122231023303320210
5432211342430434
621101232240100
72033413344351
oct325513637044
982012663440
1028675358244
1111185546085
1256833a0030
13291cb10000
141560551628
15b2c6bc699
hex6ad2f3e24

28675358244 has 135 divisors (see below), whose sum is σ = 78998158967. Its totient is φ = 8770353696.

The previous prime is 28675358233. The next prime is 28675358251. The reversal of 28675358244 is 44285357682.

The square root of 28675358244 is 169338.

It is a perfect power (a square), and thus also a powerful number.

28675358244 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 53 + 582 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14217700644 + 14457657600 = 119238^2 + 120240^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 171708649 + ... + 171708815.

Almost surely, 228675358244 is an apocalyptic number.

28675358244 is the 169338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28675358244

28675358244 is an abundant number, since it is smaller than the sum of its proper divisors (50322800723).

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

28675358244 is an equidigital number, since it uses as much as digits as its factorization.

28675358244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 185 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 28675358244 in words is "twenty-eight billion, six hundred seventy-five million, three hundred fifty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 167 169 234 334 338 468 501 507 668 676 1002 1014 1503 1521 2004 2028 2171 2197 3006 3042 4342 4394 6012 6084 6513 6591 8684 8788 13026 13182 19539 19773 26052 26364 27889 28223 28561 39078 39546 55778 56446 57122 78156 79092 83667 84669 85683 111556 112892 114244 167334 169338 171366 251001 254007 257049 334668 338676 342732 362557 366899 502002 508014 514098 725114 733798 1004004 1016028 1028196 1087671 1100697 1450228 1467596 2175342 2201394 3263013 3302091 4350684 4402788 4713241 4769687 6526026 6604182 9426482 9539374 13052052 13208364 14139723 14309061 18852964 19078748 28279446 28618122 42419169 42927183 56558892 57236244 61272133 84838338 85854366 122544266 169676676 171708732 183816399 245088532 367632798 551449197 735265596 796537729 1102898394 1593075458 2205796788 2389613187 3186150916 4779226374 7168839561 9558452748 14337679122 28675358244