Search a number
-
+
55816064 = 274310141
BaseRepresentation
bin1101010011101…
…0111110000000
310220000202020122
43110322332000
5103242103224
65312155412
71245300023
oct324727600
9126022218
1055816064
1129563487
1216838b68
13b743775
1475ad1ba
154d7815e
hex353af80

55816064 has 32 divisors (see below), whose sum is σ = 113793240. Its totient is φ = 27256320.

The previous prime is 55816063. The next prime is 55816067. The reversal of 55816064 is 46061855.

It is a happy number.

55816064 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55816063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 434 + ... + 10574.

Almost surely, 255816064 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 55816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56896620).

55816064 is an abundant number, since it is smaller than the sum of its proper divisors (57977176).

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

55816064 is a wasteful number, since it uses less digits than its factorization.

55816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 55816064 is about 7471.0149243593. The cubic root of 55816064 is about 382.1668998312.

The spelling of 55816064 in words is "fifty-five million, eight hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 10141 20282 40564 81128 162256 324512 436063 649024 872126 1298048 1744252 3488504 6977008 13954016 27908032 55816064