Search a number
-
+
284868252 = 22341751719
BaseRepresentation
bin10000111110101…
…011111010011100
3201212000210210000
4100332223322130
51040411241002
644133414300
710026224454
oct2076537234
9655023700
10284868252
11136889809
127b49a390
13470304c6
1429b94d64
151a02061c
hex10fabe9c

284868252 has 60 divisors (see below), whose sum is σ = 788523120. Its totient is φ = 89368704.

The previous prime is 284868223. The next prime is 284868253. The reversal of 284868252 is 252868482.

It is a super-2 number, since 2×2848682522 = 162299841995071008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284868198 and 284868207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284868253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20352 + ... + 31367.

It is an arithmetic number, because the mean of its divisors is an integer number (13142052).

Almost surely, 2284868252 is an apocalyptic number.

It is an amenable number.

284868252 is an abundant number, since it is smaller than the sum of its proper divisors (503654868).

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

284868252 is a wasteful number, since it uses less digits than its factorization.

284868252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51752 (or 51741 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 284868252 is about 16878.0405260800. The cubic root of 284868252 is about 657.9830158555.

The spelling of 284868252 in words is "two hundred eighty-four million, eight hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 51719 103438 155157 206876 310314 465471 620628 879223 930942 1396413 1758446 1861884 2637669 2792826 3516892 4189239 5275338 5585652 7913007 8378478 10550676 15826014 16756956 23739021 31652028 47478042 71217063 94956084 142434126 284868252