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264285 = 3257839
BaseRepresentation
bin1000000100001011101
3111102112100
41000201131
531424120
65355313
72150340
oct1004135
9442470
10264285
1117061a
12108b39
13933a8
146c457
1553490
hex4085d

264285 has 24 divisors (see below), whose sum is σ = 524160. Its totient is φ = 120672.

The previous prime is 264283. The next prime is 264289. The reversal of 264285 is 582462.

It is not a de Polignac number, because 264285 - 21 = 264283 is a prime.

It is a super-2 number, since 2×2642852 = 139693122450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 24 + 62 + 211 + 42 + 86 + 52 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264285.

It is not an unprimeable number, because it can be changed into a prime (264283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2264285 is an apocalyptic number.

It is an amenable number.

264285 is a deficient number, since it is larger than the sum of its proper divisors (259875).

264285 is a wasteful number, since it uses less digits than its factorization.

264285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 854 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 264285 is about 514.0865685855. The cubic root of 264285 is about 64.1737628253.

The spelling of 264285 in words is "two hundred sixty-four thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 839 2517 4195 5873 7551 12585 17619 29365 37755 52857 88095 264285