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564211530 = 232529216173
BaseRepresentation
bin100001101000010…
…010111101001010
31110022122220201100
4201220102331022
52123414232110
6131553002230
716660501401
oct4150227512
91408586640
10564211530
1126a534523
12138b53376
138cb77c9c
1454d0c638
15347edbc0
hex21a12f4a

564211530 has 48 divisors (see below), whose sum is σ = 1517541480. Its totient is φ = 145267584.

The previous prime is 564211493. The next prime is 564211567. The reversal of 564211530 is 35112465.

564211530 is a `hidden beast` number, since 5 + 642 + 1 + 15 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564211493) and next prime (564211567).

It can be written as a sum of positive squares in 4 ways, for example, as 381069441 + 183142089 = 19521^2 + 13533^2 .

It is a junction number, because it is equal to n+sod(n) for n = 564211494 and 564211503.

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 23 ways as a sum of consecutive naturals, for example, 105477 + ... + 110696.

Almost surely, 2564211530 is an apocalyptic number.

564211530 is an abundant number, since it is smaller than the sum of its proper divisors (953329950).

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

564211530 is a wasteful number, since it uses less digits than its factorization.

564211530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216215 (or 216212 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 564211530 is about 23753.1372664749. The cubic root of 564211530 is about 826.3182011705.

Adding to 564211530 its reverse (35112465), we get a palindrome (599323995).

The spelling of 564211530 in words is "five hundred sixty-four million, two hundred eleven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 216173 432346 648519 1080865 1297038 1945557 2161730 3242595 3891114 6269017 6485190 9727785 12538034 18807051 19455570 31345085 37614102 56421153 62690170 94035255 112842306 188070510 282105765 564211530