Search a number
-
+
55606320 = 243257111759
BaseRepresentation
bin1101010000011…
…1110000110000
310212122002112100
43110013300300
5103213400240
65303500400
71243434360
oct324076060
9125562470
1055606320
112942a940
1216757700
13b69c163
1475569a0
154d35e30
hex3507c30

55606320 has 480 divisors, whose sum is σ = 250698240. Its totient is φ = 10690560.

The previous prime is 55606297. The next prime is 55606321. The reversal of 55606320 is 2360655.

55606320 is a `hidden beast` number, since 55 + 606 + 3 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (55606321) 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 95 ways as a sum of consecutive naturals, for example, 942451 + ... + 942509.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 255606320 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 55606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

55606320 is an abundant number, since it is smaller than the sum of its proper divisors (195091920).

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

55606320 is a wasteful number, since it uses less digits than its factorization.

55606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 55606320 is about 7456.9645298875. The cubic root of 55606320 is about 381.6876003680.

Adding to 55606320 its reverse (2360655), we get a palindrome (57966975).

The spelling of 55606320 in words is "fifty-five million, six hundred six thousand, three hundred twenty".