Search a number
-
+
805650432 = 214337443
BaseRepresentation
bin110000000001010…
…100000000000000
32002010222021121220
4300001110000000
53122221303212
6211535515040
725651626036
oct6001240000
92063867556
10805650432
11383850104
121a5988a80
13cabb0a42
1478dda556
154aae138c
hex30054000

805650432 has 120 divisors (see below), whose sum is σ = 2211379296. Its totient is φ = 260702208.

The previous prime is 805650409. The next prime is 805650449. The reversal of 805650432 is 234056508.

It is a junction number, because it is equal to n+sod(n) for n = 805650393 and 805650402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1818403 + ... + 1818845.

Almost surely, 2805650432 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 805650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105689648).

805650432 is an abundant number, since it is smaller than the sum of its proper divisors (1405728864).

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

805650432 is an equidigital number, since it uses as much as digits as its factorization.

805650432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 805650432 is about 28383.9819616628. The cubic root of 805650432 is about 930.4982230413.

The spelling of 805650432 in words is "eight hundred five million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 443 444 512 592 768 886 888 1024 1184 1329 1536 1772 1776 2048 2368 2658 3072 3544 3552 4096 4736 5316 6144 7088 7104 8192 9472 10632 12288 14176 14208 16384 16391 18944 21264 24576 28352 28416 32782 37888 42528 49152 49173 56704 56832 65564 75776 85056 98346 113408 113664 131128 151552 170112 196692 226816 227328 262256 303104 340224 393384 453632 454656 524512 606208 680448 786768 907264 909312 1049024 1360896 1573536 1814528 1818624 2098048 2721792 3147072 3629056 4196096 5443584 6294144 7258112 8392192 10887168 12588288 16784384 21774336 25176576 33568768 50353152 67137536 100706304 134275072 201412608 268550144 402825216 805650432