Search a number
-
+
467331828 = 223192233463
BaseRepresentation
bin11011110110101…
…110101011110100
31012120100220202020
4123312232223310
51424114104303
6114212313140
714403153315
oct3366565364
91176326666
10467331828
1121a884357
121106127b0
1375a87812
14460d060c
152b063a53
hex1bdaeaf4

467331828 has 72 divisors (see below), whose sum is σ = 1158288768. Its totient is φ = 146627712.

The previous prime is 467331811. The next prime is 467331829. The reversal of 467331828 is 828133764.

It is a self number, because there is not a number n which added to its sum of digits gives 467331828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467331829) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1009125 + ... + 1009587.

It is an arithmetic number, because the mean of its divisors is an integer number (16087344).

Almost surely, 2467331828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467331828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579144384).

467331828 is an abundant number, since it is smaller than the sum of its proper divisors (690956940).

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

467331828 is a wasteful number, since it uses less digits than its factorization.

467331828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 720 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 467331828 is about 21617.8590059238. The cubic root of 467331828 is about 776.0239413204.

The spelling of 467331828 in words is "four hundred sixty-seven million, three hundred thirty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 233 361 463 466 699 722 926 932 1083 1389 1398 1444 1852 2166 2778 2796 4332 4427 5556 8797 8854 13281 17594 17708 26391 26562 35188 52782 53124 84113 105564 107879 167143 168226 215758 252339 323637 334286 336452 431516 501429 504678 647274 668572 1002858 1009356 1294548 2005716 2049701 4099402 6149103 8198804 12298206 24596412 38944319 77888638 116832957 155777276 233665914 467331828