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800421840 = 243258831259
BaseRepresentation
bin101111101101010…
…111011111010000
32001210010122100100
4233231113133100
53114401444330
6211231452400
725556321241
oct5755273720
92053118310
10800421840
113808a9859
121a4087100
13c9a9cbba
1478438cc8
154a40c060
hex2fb577d0

800421840 has 120 divisors (see below), whose sum is σ = 2693265120. Its totient is φ = 213034752.

The previous prime is 800421833. The next prime is 800421889. The reversal of 800421840 is 48124008.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635131 + ... + 636389.

It is an arithmetic number, because the mean of its divisors is an integer number (22443876).

Almost surely, 2800421840 is an apocalyptic number.

800421840 is a gapful number since it is divisible by the number (80) 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 800421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346632560).

800421840 is an abundant number, since it is smaller than the sum of its proper divisors (1892843280).

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

800421840 is a wasteful number, since it uses less digits than its factorization.

800421840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 800421840 is about 28291.7274127968. The cubic root of 800421840 is about 928.4809053710.

Adding to 800421840 its reverse (48124008), we get a palindrome (848545848).

The spelling of 800421840 in words is "eight hundred million, four hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 883 1259 1766 2518 2649 3532 3777 4415 5036 5298 6295 7064 7554 7947 8830 10072 10596 11331 12590 13245 14128 15108 15894 17660 18885 20144 21192 22662 25180 26490 30216 31788 35320 37770 39735 42384 45324 50360 52980 56655 60432 63576 70640 75540 79470 90648 100720 105960 113310 127152 151080 158940 181296 211920 226620 302160 317880 453240 635760 906480 1111697 2223394 3335091 4446788 5558485 6670182 8893576 10005273 11116970 13340364 16675455 17787152 20010546 22233940 26680728 33350910 40021092 44467880 50026365 53361456 66701820 80042184 88935760 100052730 133403640 160084368 200105460 266807280 400210920 800421840