Search a number
-
+
564030144 = 2632979219
BaseRepresentation
bin100001100111100…
…110101011000000
31110022022200220100
4201213212223000
52123342431034
6131545042400
716656114516
oct4147465300
91408280810
10564030144
1126a420217
12138a86400
138cb13562
1454ca24b6
15347b5099
hex219e6ac0

564030144 has 42 divisors (see below), whose sum is σ = 1616692220. Its totient is φ = 188009856.

The previous prime is 564030139. The next prime is 564030211. The reversal of 564030144 is 441030465.

564030144 is a `hidden beast` number, since 5 + 640 + 3 + 0 + 14 + 4 = 666.

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 5 ways as a sum of consecutive naturals, for example, 489034 + ... + 490185.

Almost surely, 2564030144 is an apocalyptic number.

It is an amenable number.

564030144 is an abundant number, since it is smaller than the sum of its proper divisors (1052662076).

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

564030144 is a wasteful number, since it uses less digits than its factorization.

564030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979237 (or 979224 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 564030144 is about 23749.3188112838. The cubic root of 564030144 is about 826.2296418212.

The spelling of 564030144 in words is "five hundred sixty-four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 979219 1958438 2937657 3916876 5875314 7833752 8812971 11750628 15667504 17625942 23501256 31335008 35251884 47002512 62670016 70503768 94005024 141007536 188010048 282015072 564030144