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414064563 = 31117738083
BaseRepresentation
bin11000101011100…
…001111110110011
31001212010122210120
4120223201332303
51322000031223
6105030501323
713155330213
oct3053417663
91055118716
10414064563
111a2801920
12b6804843
1367a27223
143cdc6243
1526540be3
hex18ae1fb3

414064563 has 16 divisors (see below), whose sum is σ = 637704576. Its totient is φ = 236186240.

The previous prime is 414064559. The next prime is 414064583. The reversal of 414064563 is 365460414.

It is a cyclic number.

It is not a de Polignac number, because 414064563 - 22 = 414064559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (414064583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368481 + ... + 369602.

It is an arithmetic number, because the mean of its divisors is an integer number (39856536).

Almost surely, 2414064563 is an apocalyptic number.

414064563 is a deficient number, since it is larger than the sum of its proper divisors (223640013).

414064563 is a wasteful number, since it uses less digits than its factorization.

414064563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738114.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 414064563 is about 20348.5764366945. The cubic root of 414064563 is about 745.3427325641.

It can be divided in two parts, 41 and 4064563, that added together give a palindrome (4064604).

The spelling of 414064563 in words is "four hundred fourteen million, sixty-four thousand, five hundred sixty-three".

Divisors: 1 3 11 17 33 51 187 561 738083 2214249 8118913 12547411 24356739 37642233 138021521 414064563