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8021328 = 243723873
BaseRepresentation
bin11110100110010101010000
3120002112012020
4132212111100
54023140303
6443531440
7125115540
oct36462520
916075166
108021328
1145895a7
122829b80
13187b063
1410cb320
15a86a53
hex7a6550

8021328 has 40 divisors (see below), whose sum is σ = 23683008. Its totient is φ = 2291712.

The previous prime is 8021327. The next prime is 8021333. The reversal of 8021328 is 8231208.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 8021298 and 8021307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8021323) 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, 11601 + ... + 12272.

Almost surely, 28021328 is an apocalyptic number.

It is an amenable number.

8021328 is an abundant number, since it is smaller than the sum of its proper divisors (15661680).

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

8021328 is a wasteful number, since it uses less digits than its factorization.

8021328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23891 (or 23885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8021328 is about 2832.1949085471. The cubic root of 8021328 is about 200.1775756212.

The spelling of 8021328 in words is "eight million, twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 23873 47746 71619 95492 143238 167111 190984 286476 334222 381968 501333 572952 668444 1002666 1145904 1336888 2005332 2673776 4010664 8021328