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264265 = 5173109
BaseRepresentation
bin1000000100001001001
3111102111121
41000201021
531424030
65355241
72150311
oct1004111
9442447
10264265
11170601
12108b21
1393391
146c441
155347a
hex40849

264265 has 8 divisors (see below), whose sum is σ = 335880. Its totient is φ = 198912.

The previous prime is 264263. The next prime is 264269. The reversal of 264265 is 562462.

It can be divided in two parts, 264 and 265, that added together give a square (529 = 232).

264265 = 3632 + 3642.

It can be written as a sum of positive squares in 4 ways, for example, as 22201 + 242064 = 149^2 + 492^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 264265 - 21 = 264263 is a prime.

It is a d-powerful number, because it can be written as 213 + 63 + 217 + 4 + 66 + 57 .

264265 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (264263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (41985).

2264265 is an apocalyptic number.

264265 is the 364-th centered square number.

It is an amenable number.

264265 is a deficient number, since it is larger than the sum of its proper divisors (71615).

264265 is a wasteful number, since it uses less digits than its factorization.

264265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131.

The product of its digits is 2880, while the sum is 25.

The square root of 264265 is about 514.0671162407. The cubic root of 264265 is about 64.1721439825.

The spelling of 264265 in words is "two hundred sixty-four thousand, two hundred sixty-five".

Divisors: 1 5 17 85 3109 15545 52853 264265