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8004248 = 23732917
BaseRepresentation
bin11110100010001010011000
3120001122202122
4132202022120
54022113443
6443320412
7125015000
oct36421230
916048678
108004248
11457778a
122820108
131873355
1410c5000
15a81968
hex7a2298

8004248 has 32 divisors (see below), whose sum is σ = 17508000. Its totient is φ = 3429216.

The previous prime is 8004223. The next prime is 8004257. The reversal of 8004248 is 8424008.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 4202.

It is an arithmetic number, because the mean of its divisors is an integer number (547125).

Almost surely, 28004248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754000).

8004248 is an abundant number, since it is smaller than the sum of its proper divisors (9503752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8004248 is a wasteful number, since it uses less digits than its factorization.

8004248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 8004248 is about 2829.1779724860. The cubic root of 8004248 is about 200.0353937360.

The spelling of 8004248 in words is "eight million, four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 2917 5834 11668 20419 23336 40838 81676 142933 163352 285866 571732 1000531 1143464 2001062 4002124 8004248