Search a number
-
+
51467112 = 2332291572
BaseRepresentation
bin1100010001010…
…1001101101000
310120211210121100
43010111031220
5101133421422
65035041400
71163314614
oct304251550
9116753540
1051467112
1127063004
12152a0260
13a880118
146b9a344
1547b97ac
hex3115368

51467112 has 72 divisors (see below), whose sum is σ = 145120950. Its totient is φ = 16458624.

The previous prime is 51467089. The next prime is 51467167. The reversal of 51467112 is 21176415.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35354916 + 16112196 = 5946^2 + 4014^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 327738 + ... + 327894.

Almost surely, 251467112 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 51467112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72560475).

51467112 is an abundant number, since it is smaller than the sum of its proper divisors (93653838).

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

51467112 is a wasteful number, since it uses less digits than its factorization.

51467112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 191 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51467112 is about 7174.0582657238. The cubic root of 51467112 is about 371.9717286874.

The spelling of 51467112 in words is "fifty-one million, four hundred sixty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 157 174 232 261 314 348 471 522 628 696 942 1044 1256 1413 1884 2088 2826 3768 4553 5652 9106 11304 13659 18212 24649 27318 36424 40977 49298 54636 73947 81954 98596 109272 147894 163908 197192 221841 295788 327816 443682 591576 714821 887364 1429642 1774728 2144463 2859284 4288926 5718568 6433389 8577852 12866778 17155704 25733556 51467112