Search a number
-
+
55336320 = 2732513739
BaseRepresentation
bin1101001100010…
…1110110000000
310212010101011100
43103011312000
5103131230240
65254014400
71241231244
oct323056600
9125111140
1055336320
1129265aa6
1216647400
13b6062b0
1474c6424
154cd0e30
hex34c5d80

55336320 has 192 divisors, whose sum is σ = 206060400. Its totient is φ = 13602816.

The previous prime is 55336291. The next prime is 55336327. The reversal of 55336320 is 2363355.

55336320 is a `hidden beast` number, since 5 + 5 + 336 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×553363202 = 6124216622284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55336327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74511 + ... + 75249.

Almost surely, 255336320 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 55336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103030200).

55336320 is an abundant number, since it is smaller than the sum of its proper divisors (150724080).

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

55336320 is a wasteful number, since it uses less digits than its factorization.

55336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 55336320 is about 7438.8386190319. The cubic root of 55336320 is about 381.0688283696.

Adding to 55336320 its reverse (2363355), we get a palindrome (57699675).

The spelling of 55336320 in words is "fifty-five million, three hundred thirty-six thousand, three hundred twenty".