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564262465 = 51331280031
BaseRepresentation
bin100001101000011…
…111011001000001
31110022202111120211
4201220133121001
52123422344330
6131554034121
716661103034
oct4150373101
91408674524
10564262465
1126a569818
12138b78941
138cb95220
1454d2301b
153480dd2a
hex21a1f641

564262465 has 16 divisors (see below), whose sum is σ = 752726016. Its totient is φ = 403243200.

The previous prime is 564262463. The next prime is 564262493.

564262465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564262465 - 21 = 564262463 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564262463) 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 15 ways as a sum of consecutive naturals, for example, 138001 + ... + 142030.

It is an arithmetic number, because the mean of its divisors is an integer number (47045376).

Almost surely, 2564262465 is an apocalyptic number.

It is an amenable number.

564262465 is a deficient number, since it is larger than the sum of its proper divisors (188463551).

564262465 is a wasteful number, since it uses less digits than its factorization.

564262465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280080.

The product of its digits is 345600, while the sum is 40.

The square root of 564262465 is about 23754.2094164382. The cubic root of 564262465 is about 826.3430661067.

The spelling of 564262465 in words is "five hundred sixty-four million, two hundred sixty-two thousand, four hundred sixty-five".

Divisors: 1 5 13 31 65 155 403 2015 280031 1400155 3640403 8680961 18202015 43404805 112852493 564262465