Search a number
-
+
563266368 = 2632732851
BaseRepresentation
bin100001100100101…
…100001101000000
31110020212220012100
4201210230031000
52123144010433
6131520430400
716646454000
oct4144541500
91406786170
10563266368
11269a493a5
12138778400
138c906a12
1454b44000
15346b3b13
hex2192c340

563266368 has 168 divisors, whose sum is σ = 1883460800. Its totient is φ = 160876800.

The previous prime is 563266367. The next prime is 563266369. The reversal of 563266368 is 863662365.

563266368 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 6 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (563266367) and next prime (563266369).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×5632663682 = 634538002639822848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563266367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196143 + ... + 198993.

Almost surely, 2563266368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941730400).

563266368 is an abundant number, since it is smaller than the sum of its proper divisors (1320194432).

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

563266368 is a wasteful number, since it uses less digits than its factorization.

563266368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2863 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 563266368 is about 23733.2334080293. The cubic root of 563266368 is about 825.8565297116.

The spelling of 563266368 in words is "five hundred sixty-three million, two hundred sixty-six thousand, three hundred sixty-eight".