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8233293 = 3113149163
BaseRepresentation
bin11111011010000101001101
3120111021221210
4133122011031
54101431133
6452245033
7126660525
oct37320515
916437853
108233293
114713882
122910779
131923693
141144685
15ac9763
hex7da14d

8233293 has 16 divisors (see below), whose sum is σ = 11217600. Its totient is φ = 5370624.

The previous prime is 8233279. The next prime is 8233331. The reversal of 8233293 is 3923328.

It is not a de Polignac number, because 8233293 - 25 = 8233261 is a prime.

It is a super-3 number, since 3×82332933 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8233293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8233993) 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, 50430 + ... + 50592.

It is an arithmetic number, because the mean of its divisors is an integer number (701100).

Almost surely, 28233293 is an apocalyptic number.

It is an amenable number.

8233293 is a deficient number, since it is larger than the sum of its proper divisors (2984307).

8233293 is a wasteful number, since it uses less digits than its factorization.

8233293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428.

The product of its digits is 7776, while the sum is 30.

The square root of 8233293 is about 2869.3715339774. The cubic root of 8233293 is about 201.9255108808.

The spelling of 8233293 in words is "eight million, two hundred thirty-three thousand, two hundred ninety-three".

Divisors: 1 3 113 149 163 339 447 489 16837 18419 24287 50511 55257 72861 2744431 8233293