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8026208 = 251943307
BaseRepresentation
bin11110100111100001100000
3120002202212222
4132213201200
54023314313
6444010212
7125136011
oct36474140
916082788
108026208
114592233
122830968
131880348
1410cd008
15a88208
hex7a7860

8026208 has 48 divisors (see below), whose sum is σ = 17075520. Its totient is φ = 3701376.

The previous prime is 8026199. The next prime is 8026217.

8026208 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8026199) and next prime (8026217).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25991 + ... + 26297.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 28026208 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 8026208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537760).

8026208 is an abundant number, since it is smaller than the sum of its proper divisors (9049312).

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

8026208 is a wasteful number, since it uses less digits than its factorization.

8026208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8026208 is about 2833.0563001818. The cubic root of 8026208 is about 200.2181619403.

The spelling of 8026208 in words is "eight million, twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 152 172 304 307 344 608 614 688 817 1228 1376 1634 2456 3268 4912 5833 6536 9824 11666 13072 13201 23332 26144 26402 46664 52804 93328 105608 186656 211216 250819 422432 501638 1003276 2006552 4013104 8026208