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800493000 = 233531631637
BaseRepresentation
bin101111101101101…
…000110111001000
32001210021020221220
4233231220313020
53114411234000
6211233202040
725560035556
oct5755506710
92053236856
10800493000
1138094826a
121a4100320
13c9ac63c8
1478456bd6
154a4231a0
hex2fb68dc8

800493000 has 128 divisors (see below), whose sum is σ = 2514395520. Its totient is φ = 212025600.

The previous prime is 800492993. The next prime is 800493011. The reversal of 800493000 is 394008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488182 + ... + 489818.

It is an arithmetic number, because the mean of its divisors is an integer number (19643715).

Almost surely, 2800493000 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 800493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257197760).

800493000 is an abundant number, since it is smaller than the sum of its proper divisors (1713902520).

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

800493000 is a wasteful number, since it uses less digits than its factorization.

800493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 800493000 is about 28292.9849962849. The cubic root of 800493000 is about 928.5084195059.

The spelling of 800493000 in words is "eight hundred million, four hundred ninety-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 163 200 250 300 326 375 489 500 600 652 750 815 978 1000 1304 1500 1630 1637 1956 2445 3000 3260 3274 3912 4075 4890 4911 6520 6548 8150 8185 9780 9822 12225 13096 16300 16370 19560 19644 20375 24450 24555 32600 32740 39288 40750 40925 48900 49110 61125 65480 81500 81850 97800 98220 122250 122775 163000 163700 196440 204625 244500 245550 266831 327400 409250 489000 491100 533662 613875 800493 818500 982200 1067324 1227750 1334155 1600986 1637000 2134648 2455500 2668310 3201972 4002465 4911000 5336620 6403944 6670775 8004930 10673240 13341550 16009860 20012325 26683100 32019720 33353875 40024650 53366200 66707750 80049300 100061625 133415500 160098600 200123250 266831000 400246500 800493000