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8321216 = 26235653
BaseRepresentation
bin11111101111100011000000
3120122202120012
4133233203000
54112234331
6454204052
7130505051
oct37574300
916582505
108321216
114773942
122953628
1319546c7
141168728
15ae582b
hex7ef8c0

8321216 has 28 divisors (see below), whose sum is σ = 17233392. Its totient is φ = 3979008.

The previous prime is 8321213. The next prime is 8321227. The reversal of 8321216 is 6121238.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 8321191 and 8321200.

It is not an unprimeable number, because it can be changed into a prime (8321213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1355 + ... + 4298.

Almost surely, 28321216 is an apocalyptic number.

It is an amenable number.

8321216 is an abundant number, since it is smaller than the sum of its proper divisors (8912176).

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

8321216 is a wasteful number, since it uses less digits than its factorization.

8321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688 (or 5678 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 8321216 is about 2884.6517987445. The cubic root of 8321216 is about 202.6417520927.

It can be divided in two parts, 832 and 1216, that added together give a 11-th power (2048 = 211).

The spelling of 8321216 in words is "eight million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 5653 11306 22612 45224 90448 130019 180896 260038 361792 520076 1040152 2080304 4160608 8321216