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800580942 = 23372638053
BaseRepresentation
bin101111101101111…
…110010101001110
32001210102201121000
4233231332111032
53114422042232
6211235121130
725560553140
oct5755762516
92053381530
10800580942
113809a8347
121a41431a6
13c9b27445
147847ac90
154a43e27c
hex2fb7e54e

800580942 has 64 divisors (see below), whose sum is σ = 2041205760. Its totient is φ = 227839392.

The previous prime is 800580889. The next prime is 800580959. The reversal of 800580942 is 249085008.

It is a junction number, because it is equal to n+sod(n) for n = 800580897 and 800580906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95388 + ... + 103440.

It is an arithmetic number, because the mean of its divisors is an integer number (31893840).

Almost surely, 2800580942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800580942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020602880).

800580942 is an abundant number, since it is smaller than the sum of its proper divisors (1240624818).

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

800580942 is a wasteful number, since it uses less digits than its factorization.

800580942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8328 counting only the distinct ones).

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

The square root of 800580942 is about 28294.5390844240. The cubic root of 800580942 is about 928.5424201769.

The spelling of 800580942 in words is "eight hundred million, five hundred eighty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 263 378 526 789 1578 1841 2367 3682 4734 5523 7101 8053 11046 14202 16106 16569 24159 33138 48318 49707 56371 72477 99414 112742 144954 169113 217431 338226 434862 507339 1014678 1522017 2117939 3044034 4235878 6353817 12707634 14825573 19061451 29651146 38122902 44476719 57184353 88953438 114368706 133430157 266860314 400290471 800580942