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565145064 = 2332113172251
BaseRepresentation
bin100001101011110…
…110110111101000
31110101102100021200
4201223312313220
52124134120224
6132025004200
720001440151
oct4153666750
91411370250
10565145064
11270011940
12139323660
1390113b83
14550b2928
15349355c9
hex21af6de8

565145064 has 96 divisors (see below), whose sum is σ = 1675758240. Its totient is φ = 170640000.

The previous prime is 565145041. The next prime is 565145071. The reversal of 565145064 is 460541565.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249939 + ... + 252189.

It is an arithmetic number, because the mean of its divisors is an integer number (17455815).

Almost surely, 2565145064 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 565145064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837879120).

565145064 is an abundant number, since it is smaller than the sum of its proper divisors (1110613176).

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

565145064 is a wasteful number, since it uses less digits than its factorization.

565145064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 565145064 is about 23772.7798963436. The cubic root of 565145064 is about 826.7736870059.

The spelling of 565145064 in words is "five hundred sixty-five million, one hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 317 396 634 792 951 1268 1902 2251 2536 2853 3487 3804 4502 5706 6753 6974 7608 9004 10461 11412 13506 13948 18008 20259 20922 22824 24761 27012 27896 31383 40518 41844 49522 54024 62766 74283 81036 83688 99044 125532 148566 162072 198088 222849 251064 297132 445698 594264 713567 891396 1427134 1782792 2140701 2854268 4281402 5708536 6422103 7849237 8562804 12844206 15698474 17125608 23547711 25688412 31396948 47095422 51376824 62793896 70643133 94190844 141286266 188381688 282572532 565145064