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800985024 = 2634722073
BaseRepresentation
bin101111101111100…
…000111111000000
32001211012020220000
4233233200333000
53120023010044
6211251520000
725564155210
oct5757407700
92054166800
10800985024
113811539a4
121a42b9000
13c9c39348
1478544240
154a4bdd69
hex2fbe0fc0

800985024 has 140 divisors (see below), whose sum is σ = 2713689264. Its totient is φ = 228842496.

The previous prime is 800985023. The next prime is 800985041. The reversal of 800985024 is 420589008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 800985024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800985023) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 25252 + ... + 47324.

Almost surely, 2800985024 is an apocalyptic number.

800985024 is a gapful number since it is divisible by the number (84) 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 800985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356844632).

800985024 is an abundant number, since it is smaller than the sum of its proper divisors (1912704240).

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

800985024 is a wasteful number, since it uses less digits than its factorization.

800985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22104 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 800985024 is about 28301.6788194623. The cubic root of 800985024 is about 928.6986168209.

The spelling of 800985024 in words is "eight hundred million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 22073 36288 44146 66219 88292 132438 154511 176584 198657 264876 309022 353168 397314 463533 529752 595971 618044 706336 794628 927066 1059504 1191942 1236088 1390599 1412672 1589256 1787913 1854132 2119008 2383884 2472176 2781198 3178512 3575826 3708264 4171797 4238016 4767768 4944352 5562396 6357024 7151652 7416528 8343594 9535536 9888704 11124792 12515391 12714048 14303304 14833056 16687188 19071072 22249584 25030782 28606608 29666112 33374376 38142144 44499168 50061564 57213216 66748752 88998336 100123128 114426432 133497504 200246256 266995008 400492512 800985024