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806148352 = 2819116487
BaseRepresentation
bin110000000011001…
…101100100000000
32002011220120122101
4300003031210000
53122333221402
6211554320144
725656101512
oct6003154400
92064816571
10806148352
11384060209
121a5b89054
13cb026579
14790c9bb2
154ab8db87
hex300cd900

806148352 has 36 divisors (see below), whose sum is σ = 1617670656. Its totient is φ = 400939520.

The previous prime is 806148319. The next prime is 806148377. The reversal of 806148352 is 253841608.

It is a happy 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, 40653 + ... + 57139.

It is an arithmetic number, because the mean of its divisors is an integer number (44935296).

Almost surely, 2806148352 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 806148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808835328).

806148352 is an abundant number, since it is smaller than the sum of its proper divisors (811522304).

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

806148352 is a wasteful number, since it uses less digits than its factorization.

806148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 806148352 is about 28392.7517511072. The cubic root of 806148352 is about 930.6898769901.

The spelling of 806148352 in words is "eight hundred six million, one hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 764 1528 3056 6112 12224 16487 24448 32974 48896 65948 131896 263792 527584 1055168 2110336 3149017 4220672 6298034 12596068 25192136 50384272 100768544 201537088 403074176 806148352