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809797472 = 25118925849
BaseRepresentation
bin110000010001001…
…000011101100000
32002102202222021222
4300101020131200
53124302004342
6212204434212
726032110401
oct6021103540
92072688258
10809797472
11386122910
121a7248968
13cba03503
14797999a8
154b15eed2
hex30448760

809797472 has 48 divisors (see below), whose sum is σ = 1758834000. Its totient is φ = 363939840.

The previous prime is 809797463. The next prime is 809797481. The reversal of 809797472 is 274797908.

It is an interprime number because it is at equal distance from previous prime (809797463) and next prime (809797481).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18404 + ... + 44252.

It is an arithmetic number, because the mean of its divisors is an integer number (36642375).

Almost surely, 2809797472 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 809797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879417000).

809797472 is an abundant number, since it is smaller than the sum of its proper divisors (949036528).

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

809797472 is a wasteful number, since it uses less digits than its factorization.

809797472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25959 (or 25951 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 53.

The square root of 809797472 is about 28456.9406648009. The cubic root of 809797472 is about 932.0920537564.

The spelling of 809797472 in words is "eight hundred nine million, seven hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3916 7832 15664 25849 31328 51698 103396 206792 284339 413584 568678 827168 1137356 2274712 2300561 4549424 4601122 9098848 9202244 18404488 25306171 36808976 50612342 73617952 101224684 202449368 404898736 809797472