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806966688 = 253114771229
BaseRepresentation
bin110000000110010…
…101010110100000
32002020110011012010
4300012111112200
53123040413223
6212024032520
725666050363
oct6006252640
92066404163
10806966688
1138456a020
121a6302740
13cb251ba8
14792600da
154aca1393
hex301955a0

806966688 has 192 divisors, whose sum is σ = 2403717120. Its totient is φ = 234931200.

The previous prime is 806966687. The next prime is 806966779. The reversal of 806966688 is 886669608.

It is not an unprimeable number, because it can be changed into a prime (806966687) 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 31 ways as a sum of consecutive naturals, for example, 3523758 + ... + 3523986.

It is an arithmetic number, because the mean of its divisors is an integer number (12519360).

Almost surely, 2806966688 is an apocalyptic number.

806966688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806966688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201858560).

806966688 is an abundant number, since it is smaller than the sum of its proper divisors (1596750432).

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

806966688 is a wasteful number, since it uses less digits than its factorization.

806966688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 806966688 is about 28407.1590976641. The cubic root of 806966688 is about 931.0046906197.

The spelling of 806966688 in words is "eight hundred six million, nine hundred sixty-six thousand, six hundred eighty-eight".