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809023488 = 21137131447
BaseRepresentation
bin110000001110001…
…011100000000000
32002101022122120220
4300032023200000
53124102222423
6212140103040
726022405030
oct6016134000
92071278526
10809023488
11385744359
121a6b34a80
13cb7c2130
14796378c0
154b05a9e3
hex3038b800

809023488 has 192 divisors, whose sum is σ = 2656442880. Its totient is φ = 213221376.

The previous prime is 809023441. The next prime is 809023499. The reversal of 809023488 is 884320908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8090234882 = 1309038008271372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558381 + ... + 559827.

It is an arithmetic number, because the mean of its divisors is an integer number (13835640).

Almost surely, 2809023488 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 809023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328221440).

809023488 is an abundant number, since it is smaller than the sum of its proper divisors (1847419392).

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

809023488 is a wasteful number, since it uses less digits than its factorization.

809023488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 809023488 is about 28443.3382007105. The cubic root of 809023488 is about 931.7950024059.

The spelling of 809023488 in words is "eight hundred nine million, twenty-three thousand, four hundred eighty-eight".