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8021296 = 242371307
BaseRepresentation
bin11110100110010100110000
3120002112011001
4132212110300
54023140141
6443531344
7125115463
oct36462460
916075131
108021296
114589578
122829b54
13187b03a
1410cb2da
15a86a31
hex7a6530

8021296 has 40 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 3769920.

The previous prime is 8021291. The next prime is 8021323. The reversal of 8021296 is 6921208.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8021291) 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 7 ways as a sum of consecutive naturals, for example, 25975 + ... + 26281.

Almost surely, 28021296 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 8021296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

8021296 is an abundant number, since it is smaller than the sum of its proper divisors (8477648).

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

8021296 is a wasteful number, since it uses less digits than its factorization.

8021296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 8021296 is about 2832.1892592127. The cubic root of 8021296 is about 200.1773094270.

It can be divided in two parts, 80212 and 96, that added together give a palindrome (80308).

The spelling of 8021296 in words is "eight million, twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 307 368 568 614 1136 1228 1633 2456 3266 4912 6532 7061 13064 14122 21797 26128 28244 43594 56488 87188 112976 174376 348752 501331 1002662 2005324 4010648 8021296