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8198016 = 27337577
BaseRepresentation
bin11111010001011110000000
3120102111120020
4133101132000
54044314031
6451413440
7126452631
oct37213600
916374506
108198016
11469a322
1228b4280
1319105c8
141135888
15abe096
hex7d1780

8198016 has 64 divisors (see below), whose sum is σ = 22403280. Its totient is φ = 2654208.

The previous prime is 8198011. The next prime is 8198017. The reversal of 8198016 is 6108918.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198011) 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, 13920 + ... + 14496.

Almost surely, 28198016 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 8198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201640).

8198016 is an abundant number, since it is smaller than the sum of its proper divisors (14205264).

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

8198016 is a wasteful number, since it uses less digits than its factorization.

8198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 8198016 is about 2863.2177702718. The cubic root of 8198016 is about 201.6367028162.

The spelling of 8198016 in words is "eight million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 577 592 888 1154 1184 1731 1776 2308 2368 3462 3552 4616 4736 6924 7104 9232 13848 14208 18464 21349 27696 36928 42698 55392 64047 73856 85396 110784 128094 170792 221568 256188 341584 512376 683168 1024752 1366336 2049504 2732672 4099008 8198016