Search a number
-
+
565085648 = 242910911173
BaseRepresentation
bin100001101011101…
…000010111010000
31110101022022210002
4201223220113100
52124130220043
6132023425132
720001102011
oct4153502720
91411268702
10565085648
1126aa81236
121392b51a8
13900c2b0a
1455099008
1534922bb8
hex21ae85d0

565085648 has 40 divisors (see below), whose sum is σ = 1143100200. Its totient is φ = 270273024.

The previous prime is 565085623. The next prime is 565085659. The reversal of 565085648 is 846580565.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125260864 + 439824784 = 11192^2 + 20972^2 .

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 7 ways as a sum of consecutive naturals, for example, 44990 + ... + 56162.

It is an arithmetic number, because the mean of its divisors is an integer number (28577505).

Almost surely, 2565085648 is an apocalyptic number.

565085648 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565085648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571550100).

565085648 is an abundant number, since it is smaller than the sum of its proper divisors (578014552).

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

565085648 is a wasteful number, since it uses less digits than its factorization.

565085648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 47.

The square root of 565085648 is about 23771.5301989586. The cubic root of 565085648 is about 826.7447119633.

The spelling of 565085648 in words is "five hundred sixty-five million, eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 109 116 218 232 436 464 872 1744 3161 6322 11173 12644 22346 25288 44692 50576 89384 178768 324017 648034 1217857 1296068 2435714 2592136 4871428 5184272 9742856 19485712 35317853 70635706 141271412 282542824 565085648