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800464050 = 232524737847
BaseRepresentation
bin101111101101100…
…001110010110010
32001210012210020200
4233231201302302
53114404322200
6211232420030
725556555301
oct5755416262
92053183220
10800464050
11380928541
121a40a7616
13c9ab6189
147844a438
154a419800
hex2fb61cb2

800464050 has 72 divisors (see below), whose sum is σ = 2196395136. Its totient is φ = 208909920.

The previous prime is 800464037. The next prime is 800464069. The reversal of 800464050 is 50464008.

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 2227 + ... + 40073.

It is an arithmetic number, because the mean of its divisors is an integer number (30505488).

Almost surely, 2800464050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800464050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098197568).

800464050 is an abundant number, since it is smaller than the sum of its proper divisors (1395931086).

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

800464050 is a wasteful number, since it uses less digits than its factorization.

800464050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37912 (or 37904 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 800464050 is about 28292.4733807421. The cubic root of 800464050 is about 928.4972261360.

The spelling of 800464050 in words is "eight hundred million, four hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 423 450 470 705 846 1175 1410 2115 2350 3525 4230 7050 10575 21150 37847 75694 113541 189235 227082 340623 378470 567705 681246 946175 1135410 1703115 1778809 1892350 2838525 3406230 3557618 5336427 5677050 8515575 8894045 10672854 16009281 17031150 17788090 26682135 32018562 44470225 53364270 80046405 88940450 133410675 160092810 266821350 400232025 800464050