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264493327 = 72171492131
BaseRepresentation
bin11111100001111…
…01100100001111
3200102200122122011
433300331210033
51020202241302
642125002051
76361104400
oct1760754417
9612618564
10264493327
1112633282a
12746b3327
1342a48537
14271ad9a7
15183485d7
hexfc3d90f

264493327 has 24 divisors (see below), whose sum is σ = 328114800. Its totient is φ = 211841280.

The previous prime is 264493321. The next prime is 264493351. The reversal of 264493327 is 723394462.

It is not a de Polignac number, because 264493327 - 27 = 264493199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 264493327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264493321) 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 23 ways as a sum of consecutive naturals, for example, 123052 + ... + 125182.

It is an arithmetic number, because the mean of its divisors is an integer number (13671450).

Almost surely, 2264493327 is an apocalyptic number.

264493327 is a deficient number, since it is larger than the sum of its proper divisors (63621473).

264493327 is a wasteful number, since it uses less digits than its factorization.

264493327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2304 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 264493327 is about 16263.2508127988. The cubic root of 264493327 is about 641.9062040486.

The spelling of 264493327 in words is "two hundred sixty-four million, four hundred ninety-three thousand, three hundred twenty-seven".

Divisors: 1 7 17 49 119 149 833 1043 2131 2533 7301 14917 17731 36227 104419 124117 253589 317519 1775123 2222633 5397823 15558431 37784761 264493327