Search a number
-
+
564484464 = 2434435559
BaseRepresentation
bin100001101001010…
…101100101110000
31110100011210010000
4201221111211300
52124002000324
6132002510000
716663016205
oct4151254560
91410153100
10564484464
1126a700595
12139065300
138cc4229b
1454d7dcac
15348549c9
hex21a55970

564484464 has 50 divisors (see below), whose sum is σ = 1633785560. Its totient is φ = 188161056.

The previous prime is 564484457. The next prime is 564484489. The reversal of 564484464 is 464484465.

564484464 is a `hidden beast` number, since 564 + 4 + 84 + 4 + 6 + 4 = 666.

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 9 ways as a sum of consecutive naturals, for example, 216484 + ... + 219075.

Almost surely, 2564484464 is an apocalyptic number.

564484464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

564484464 is an abundant number, since it is smaller than the sum of its proper divisors (1069301096).

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

564484464 is a wasteful number, since it uses less digits than its factorization.

564484464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435579 (or 435564 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 564484464 is about 23758.8817918689. The cubic root of 564484464 is about 826.4514218766.

Subtracting from 564484464 its reverse (464484465), we obtain a palindrome (99999999).

The spelling of 564484464 in words is "five hundred sixty-four million, four hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 435559 871118 1306677 1742236 2613354 3484472 3920031 5226708 6968944 7840062 10453416 11760093 15680124 20906832 23520186 31360248 35280279 47040372 62720496 70560558 94080744 141121116 188161488 282242232 564484464