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8004249 = 3211233347
BaseRepresentation
bin11110100010001010011001
3120001122202200
4132202022121
54022113444
6443320413
7125015001
oct36421231
916048680
108004249
114577790
122820109
131873356
1410c5001
15a81969
hex7a2299

8004249 has 24 divisors (see below), whose sum is σ = 12703392. Its totient is φ = 4816320.

The previous prime is 8004223. The next prime is 8004257. The reversal of 8004249 is 9424008.

It is not a de Polignac number, because 8004249 - 27 = 8004121 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22894 + ... + 23240.

It is an arithmetic number, because the mean of its divisors is an integer number (529308).

Almost surely, 28004249 is an apocalyptic number.

It is an amenable number.

8004249 is a deficient number, since it is larger than the sum of its proper divisors (4699143).

8004249 is a wasteful number, since it uses less digits than its factorization.

8004249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8004249 is about 2829.1781492158. The cubic root of 8004249 is about 200.0354020664.

The spelling of 8004249 in words is "eight million, four thousand, two hundred forty-nine".

Divisors: 1 3 9 11 33 99 233 347 699 1041 2097 2563 3123 3817 7689 11451 23067 34353 80851 242553 727659 889361 2668083 8004249