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816064 = 2641311
BaseRepresentation
bin11000111001111000000
31112110102121
43013033000
5202103224
625254024
76636124
oct3071700
91473377
10816064
11508137
12334314
132275a2
14173584
15111be4
hexc73c0

816064 has 28 divisors (see below), whose sum is σ = 1664208. Its totient is φ = 396800.

The previous prime is 816047. The next prime is 816077. The reversal of 816064 is 460618.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2469 + ... + 2779.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

2816064 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 816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104).

816064 is an abundant number, since it is smaller than the sum of its proper divisors (848144).

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

816064 is a wasteful number, since it uses less digits than its factorization.

816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 816064 is about 903.3626071517. The cubic root of 816064 is about 93.4490175509.

Adding to 816064 its product of nonzero digits (1152), we get a square (817216 = 9042).

The spelling of 816064 in words is "eight hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 311 328 622 656 1244 1312 2488 2624 4976 9952 12751 19904 25502 51004 102008 204016 408032 816064