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564855030 = 2325311931049
BaseRepresentation
bin100001101010110…
…000000011110110
31110100212121102200
4201222300003312
52124100330110
6132014445330
716666121445
oct4152600366
91410777380
10564855030
1126a933a43
12139203846
1390041b5c
1455038d5c
15348c96c0
hex21ab00f6

564855030 has 96 divisors (see below), whose sum is σ = 1525305600. Its totient is φ = 144875520.

The previous prime is 564855029. The next prime is 564855037. The reversal of 564855030 is 30558465.

564855030 is a `hidden beast` number, since 5 + 648 + 5 + 5 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×5648550302 = 638122409832601800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564855037) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 537946 + ... + 538994.

It is an arithmetic number, because the mean of its divisors is an integer number (15888600).

Almost surely, 2564855030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564855030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762652800).

564855030 is an abundant number, since it is smaller than the sum of its proper divisors (960450570).

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

564855030 is a wasteful number, since it uses less digits than its factorization.

564855030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

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

The square root of 564855030 is about 23766.6789855041. The cubic root of 564855030 is about 826.6322286281.

The spelling of 564855030 in words is "five hundred sixty-four million, eight hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 193 279 310 386 465 558 579 930 965 1049 1158 1395 1737 1930 2098 2790 2895 3147 3474 5245 5790 5983 6294 8685 9441 10490 11966 15735 17370 17949 18882 29915 31470 32519 35898 47205 53847 59830 65038 89745 94410 97557 107694 162595 179490 195114 202457 269235 292671 325190 404914 487785 538470 585342 607371 975570 1012285 1214742 1463355 1822113 2024570 2926710 3036855 3644226 6073710 6276167 9110565 12552334 18221130 18828501 31380835 37657002 56485503 62761670 94142505 112971006 188285010 282427515 564855030