Search a number
-
+
55989216 = 2532613187
BaseRepresentation
bin1101010110010…
…1001111100000
310220100112202200
43111211033200
5103313123331
65320013200
71246620603
oct325451740
9126315680
1055989216
1129671588
1216901200
13b7a451a
14761633a
154dae5e6
hex35653e0

55989216 has 72 divisors (see below), whose sum is σ = 161880264. Its totient is φ = 18351360.

The previous prime is 55989191. The next prime is 55989229. The reversal of 55989216 is 61298955.

55989216 is a `hidden beast` number, since 559 + 8 + 92 + 1 + 6 = 666.

55989216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15975 + ... + 19161.

It is an arithmetic number, because the mean of its divisors is an integer number (2248337).

Almost surely, 255989216 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 55989216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80940132).

55989216 is an abundant number, since it is smaller than the sum of its proper divisors (105891048).

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

55989216 is a wasteful number, since it uses less digits than its factorization.

55989216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3253 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 55989216 is about 7482.5942025477. The cubic root of 55989216 is about 382.5616765852.

The spelling of 55989216 in words is "fifty-five million, nine hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 3187 4392 5856 6374 8784 9561 12748 17568 19122 25496 28683 38244 50992 57366 76488 101984 114732 152976 194407 229464 305952 388814 458928 583221 777628 917856 1166442 1555256 1749663 2332884 3110512 3499326 4665768 6221024 6998652 9331536 13997304 18663072 27994608 55989216