Search a number
-
+
566249616 = 24346612
BaseRepresentation
bin100001110000000…
…100100010010000
31110110111110110000
4201300010202100
52124424441431
6132104410000
720014020342
oct4160044220
91413443400
10566249616
112706a6799
12139776900
139040c85a
14552bd292
1534aa29e6
hex21c04890

566249616 has 75 divisors (see below), whose sum is σ = 1641373833. Its totient is φ = 188464320.

The previous prime is 566249611. The next prime is 566249657. The reversal of 566249616 is 616942665.

The square root of 566249616 is 23796.

It is a perfect power (a square), and thus also a powerful number.

566249616 is a `hidden beast` number, since 5 + 6 + 6 + 24 + 9 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 449609616 + 116640000 = 21204^2 + 10800^2 .

It is not an unprimeable number, because it can be changed into a prime (566249611) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 856326 + ... + 856986.

Almost surely, 2566249616 is an apocalyptic number.

566249616 is the 23796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566249616

566249616 is an abundant number, since it is smaller than the sum of its proper divisors (1075124217).

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

566249616 is an frugal number, since it uses more digits than its factorization.

566249616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 666 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The cubic root of 566249616 is about 827.3119678159.

It can be divided in two parts, 5662 and 49616, that added together give a triangular number (55278 = T332).

The spelling of 566249616 in words is "five hundred sixty-six million, two hundred forty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 661 1296 1322 1983 2644 3966 5288 5949 7932 10576 11898 15864 17847 23796 31728 35694 47592 53541 71388 95184 107082 142776 214164 285552 428328 436921 856656 873842 1310763 1747684 2621526 3495368 3932289 5243052 6990736 7864578 10486104 11796867 15729156 20972208 23593734 31458312 35390601 47187468 62916624 70781202 94374936 141562404 188749872 283124808 566249616