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800539008 = 27319113971
BaseRepresentation
bin101111101101110…
…100000110000000
32001210100121001220
4233231310012000
53114414222013
6211234155040
725560316653
oct5755640600
92053317056
10800539008
11380979895
121a4122a80
13c9b11329
147846989a
154a431b23
hex2fb74180

800539008 has 128 divisors (see below), whose sum is σ = 2260483200. Its totient is φ = 250306560.

The previous prime is 800539001. The next prime is 800539021. The reversal of 800539008 is 800935008.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 800539008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800539001) 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, 823963 + ... + 824933.

It is an arithmetic number, because the mean of its divisors is an integer number (17660025).

Almost surely, 2800539008 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 800539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130241600).

800539008 is an abundant number, since it is smaller than the sum of its proper divisors (1459944192).

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

800539008 is a wasteful number, since it uses less digits than its factorization.

800539008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 800539008 is about 28293.7980483356. The cubic root of 800539008 is about 928.5262077093.

The spelling of 800539008 in words is "eight hundred million, five hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 113 114 128 152 192 226 228 304 339 384 452 456 608 678 904 912 971 1216 1356 1808 1824 1942 2147 2432 2712 2913 3616 3648 3884 4294 5424 5826 6441 7232 7296 7768 8588 10848 11652 12882 14464 15536 17176 18449 21696 23304 25764 31072 34352 36898 43392 46608 51528 55347 62144 68704 73796 93216 103056 109723 110694 124288 137408 147592 186432 206112 219446 221388 274816 295184 329169 372864 412224 438892 442776 590368 658338 824448 877784 885552 1180736 1316676 1755568 1771104 2084737 2361472 2633352 3511136 3542208 4169474 5266704 6254211 7022272 7084416 8338948 10533408 12508422 14044544 16677896 21066816 25016844 33355792 42133632 50033688 66711584 100067376 133423168 200134752 266846336 400269504 800539008