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800378406 = 23250878741
BaseRepresentation
bin101111101101001…
…100111000100110
32001210001102202200
4233231030320212
53114344102111
6211230515330
725556050512
oct5755147046
92053042680
10800378406
1138087a163
121a4065b46
13c9a861b9
1478427142
154a3ee256
hex2fb4ce26

800378406 has 24 divisors (see below), whose sum is σ = 1734692544. Its totient is φ = 266709840.

The previous prime is 800378347. The next prime is 800378419. The reversal of 800378406 is 604873008.

It is a super-2 number, since 2×8003784062 = 1281211185582201672, which contains 22 as substring.

It is a Curzon number.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 87196 + ... + 95936.

It is an arithmetic number, because the mean of its divisors is an integer number (72278856).

Almost surely, 2800378406 is an apocalyptic number.

800378406 is an abundant number, since it is smaller than the sum of its proper divisors (934314138).

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

800378406 is a wasteful number, since it uses less digits than its factorization.

800378406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 800378406 is about 28290.9597928384. The cubic root of 800378406 is about 928.4641107397.

The spelling of 800378406 in words is "eight hundred million, three hundred seventy-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 18 5087 8741 10174 15261 17482 26223 30522 45783 52446 78669 91566 157338 44465467 88930934 133396401 266792802 400189203 800378406