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804913640 = 235411732837
BaseRepresentation
bin101111111110100…
…000000111101000
32002002120211221022
4233332200013220
53122024214030
6211512032012
725642436666
oct5776400750
92062524838
10804913640
11383397593
121a5692608
13ca9b357b
1478c87c36
154a9e7de5
hex2ffa01e8

804913640 has 64 divisors (see below), whose sum is σ = 1866609360. Its totient is φ = 312186880.

The previous prime is 804913639. The next prime is 804913657. The reversal of 804913640 is 46319408.

It is a Cunningham number, because it is equal to 283712-1.

It can be written as a sum of positive squares in 8 ways, for example, as 106791556 + 698122084 = 10334^2 + 26422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 804913640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282302 + ... + 285138.

Almost surely, 2804913640 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 804913640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933304680).

804913640 is an abundant number, since it is smaller than the sum of its proper divisors (1061695720).

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

804913640 is a wasteful number, since it uses less digits than its factorization.

804913640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 804913640 is about 28370.9999823764. Note that the first 4 decimals coincide. The cubic root of 804913640 is about 930.2144801500.

The spelling of 804913640 in words is "eight hundred four million, nine hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 173 205 328 346 410 692 820 865 1384 1640 1730 2837 3460 5674 6920 7093 11348 14185 14186 22696 28370 28372 35465 56740 56744 70930 113480 116317 141860 232634 283720 465268 490801 581585 930536 981602 1163170 1963204 2326340 2454005 3926408 4652680 4908010 9816020 19632040 20122841 40245682 80491364 100614205 160982728 201228410 402456820 804913640