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8048214 = 2331031447
BaseRepresentation
bin11110101100111001010110
3120010220002000
4132230321112
54030020324
6444300130
7125260116
oct36547126
916126060
108048214
1145a7819
122841646
13188a375
1410d7046
15a8e9c9
hex7ace56

8048214 has 32 divisors (see below), whose sum is σ = 18071040. Its totient is φ = 2654856.

The previous prime is 8048207. The next prime is 8048269. The reversal of 8048214 is 4128408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4839 + ... + 6285.

It is an arithmetic number, because the mean of its divisors is an integer number (564720).

Almost surely, 28048214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8048214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035520).

8048214 is an abundant number, since it is smaller than the sum of its proper divisors (10022826).

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

8048214 is a wasteful number, since it uses less digits than its factorization.

8048214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8048214 is about 2836.9374332191. The cubic root of 8048214 is about 200.4009788758.

The spelling of 8048214 in words is "eight million, forty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1447 1854 2781 2894 4341 5562 8682 13023 26046 39069 78138 149041 298082 447123 894246 1341369 2682738 4024107 8048214