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806966628 = 2231331116633
BaseRepresentation
bin110000000110010…
…101010101100100
32002020110011002220
4300012111111210
53123040413003
6212024032340
725666050246
oct6006252544
92066404086
10806966628
11384569a76
121a63026b0
13cb251b60
1479260096
154aca1353
hex30195564

806966628 has 48 divisors (see below), whose sum is σ = 2034404736. Its totient is φ = 247484160.

The previous prime is 806966627. The next prime is 806966687. The reversal of 806966628 is 826669608.

It is not an unprimeable number, because it can be changed into a prime (806966623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40200 + ... + 56832.

It is an arithmetic number, because the mean of its divisors is an integer number (42383432).

Almost surely, 2806966628 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 806966628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017202368).

806966628 is an abundant number, since it is smaller than the sum of its proper divisors (1227438108).

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

806966628 is a wasteful number, since it uses less digits than its factorization.

806966628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16964 (or 16962 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 806966628 is about 28407.1580415923. The cubic root of 806966628 is about 931.0046675455.

The spelling of 806966628 in words is "eight hundred six million, nine hundred sixty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 311 622 933 1244 1866 3732 4043 8086 12129 16172 16633 24258 33266 48516 49899 66532 99798 199596 216229 432458 648687 864916 1297374 2594748 5172863 10345726 15518589 20691452 31037178 62074356 67247219 134494438 201741657 268988876 403483314 806966628