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564424465 = 51121078719
BaseRepresentation
bin100001101001000…
…110111100010001
31110100001201210211
4201221012330101
52123443040330
6132001324121
716662346243
oct4151067421
91410051724
10564424465
1126a66a500
12139036641
138cc20b97
1454d66093
1534841d2a
hex21a46f11

564424465 has 24 divisors (see below), whose sum is σ = 751524480. Its totient is φ = 406607520.

The previous prime is 564424451. The next prime is 564424481.

It is a happy number.

564424465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564424465 - 25 = 564424433 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 60376 + ... + 69094.

It is an arithmetic number, because the mean of its divisors is an integer number (31313520).

Almost surely, 2564424465 is an apocalyptic number.

564424465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564424465 is a deficient number, since it is larger than the sum of its proper divisors (187100015).

564424465 is a wasteful number, since it uses less digits than its factorization.

564424465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853 (or 8842 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The square root of 564424465 is about 23757.6190936718. The cubic root of 564424465 is about 826.4221396915.

The spelling of 564424465 in words is "five hundred sixty-four million, four hundred twenty-four thousand, four hundred sixty-five".

Divisors: 1 5 11 55 107 121 535 605 1177 5885 8719 12947 43595 64735 95909 479545 932933 1054999 4664665 5274995 10262263 51311315 112884893 564424465