Search a number
-
+
56418012 = 2233731523
BaseRepresentation
bin1101011100110…
…1111011011100
310221011022222000
43113031323130
5103420334022
65333122300
71253355000
oct327157334
9127138860
1056418012
1129934762
1216a89390
13b8c4751
1476c8700
154e466ac
hex35cdedc

56418012 has 96 divisors (see below), whose sum is σ = 170688000. Its totient is φ = 16108848.

The previous prime is 56417981. The next prime is 56418017. The reversal of 56418012 is 21081465.

56418012 is a `hidden beast` number, since 5 + 641 + 8 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56418017) 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 31 ways as a sum of consecutive naturals, for example, 36283 + ... + 37805.

It is an arithmetic number, because the mean of its divisors is an integer number (1778000).

Almost surely, 256418012 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 56418012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344000).

56418012 is an abundant number, since it is smaller than the sum of its proper divisors (114269988).

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

56418012 is a wasteful number, since it uses less digits than its factorization.

56418012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56418012 is about 7511.1924486063. The cubic root of 56418012 is about 383.5358160680.

Adding to 56418012 its reverse (21081465), we get a palindrome (77499477).

The spelling of 56418012 in words is "fifty-six million, four hundred eighteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1523 1764 2058 2646 3046 3087 4116 4569 5292 6092 6174 9138 9261 10661 12348 13707 18276 18522 21322 27414 31983 37044 41121 42644 54828 63966 74627 82242 95949 127932 149254 164484 191898 223881 287847 298508 383796 447762 522389 575694 671643 895524 1044778 1151388 1343286 1567167 2014929 2089556 2686572 3134334 4029858 4701501 6268668 8059716 9403002 14104503 18806004 28209006 56418012