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8122816 = 26132751
BaseRepresentation
bin11110111111000111000000
3120021200102001
4132333013000
54034412231
6450033344
7126020452
oct36770700
916250361
108122816
114648879
122878854
1318b5300
1411162d2
15aa6b61
hex7bf1c0

8122816 has 42 divisors (see below), whose sum is σ = 17477232. Its totient is φ = 3744000.

The previous prime is 8122799. The next prime is 8122819. The reversal of 8122816 is 6182218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8122819) 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 5 ways as a sum of consecutive naturals, for example, 10441 + ... + 11191.

Almost surely, 28122816 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 8122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738616).

8122816 is an abundant number, since it is smaller than the sum of its proper divisors (9354416).

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

8122816 is a wasteful number, since it uses less digits than its factorization.

8122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 766 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 8122816 is about 2850.0554380573. The cubic root of 8122816 is about 201.0182734639.

The spelling of 8122816 in words is "eight million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 751 832 1352 1502 2704 3004 5408 6008 9763 10816 12016 19526 24032 39052 48064 78104 126919 156208 253838 312416 507676 624832 1015352 2030704 4061408 8122816