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8020816 = 2431103157
BaseRepresentation
bin11110100110001101010000
3120002111111021
4132212031100
54023131231
6443525224
7125114206
oct36461520
916074437
108020816
114589181
122829814
13187aa5b
1410cb076
15a86811
hex7a6350

8020816 has 40 divisors (see below), whose sum is σ = 16300544. Its totient is φ = 3818880.

The previous prime is 8020801. The next prime is 8020867. The reversal of 8020816 is 6180208.

It is a congruent number.

It is an unprimeable number.

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, 51010 + ... + 51166.

Almost surely, 28020816 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 8020816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150272).

8020816 is an abundant number, since it is smaller than the sum of its proper divisors (8279728).

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

8020816 is a wasteful number, since it uses less digits than its factorization.

8020816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 8020816 is about 2832.1045178453. The cubic root of 8020816 is about 200.1733164304.

It can be divided in two parts, 8020 and 816, that added together give a square (8836 = 942).

The spelling of 8020816 in words is "eight million, twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 62 103 124 157 206 248 314 412 496 628 824 1256 1648 2512 3193 4867 6386 9734 12772 16171 19468 25544 32342 38936 51088 64684 77872 129368 258736 501301 1002602 2005204 4010408 8020816