Search a number
-
+
463066296 = 233711833019
BaseRepresentation
bin11011100110011…
…101010010111000
31012021100012112120
4123212131102320
51422021110141
6113541041240
714321666340
oct3346352270
91167305476
10463066296
11218430620
1210b0b6220
1374c23134
14456ddd20
152a9bec66
hex1b99d4b8

463066296 has 128 divisors (see below), whose sum is σ = 1461196800. Its totient is φ = 118788480.

The previous prime is 463066243. The next prime is 463066367. The reversal of 463066296 is 692660364.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 151875 + ... + 154893.

It is an arithmetic number, because the mean of its divisors is an integer number (11415600).

Almost surely, 2463066296 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 463066296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730598400).

463066296 is an abundant number, since it is smaller than the sum of its proper divisors (998130504).

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

463066296 is a wasteful number, since it uses less digits than its factorization.

463066296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 463066296 is about 21518.9752544121. The cubic root of 463066296 is about 773.6556901904.

The spelling of 463066296 in words is "four hundred sixty-three million, sixty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 83 84 88 132 154 166 168 231 249 264 308 332 462 498 581 616 664 913 924 996 1162 1743 1826 1848 1992 2324 2739 3019 3486 3652 4648 5478 6038 6391 6972 7304 9057 10956 12076 12782 13944 18114 19173 21133 21912 24152 25564 33209 36228 38346 42266 51128 63399 66418 72456 76692 84532 99627 126798 132836 153384 169064 199254 232463 250577 253596 265672 398508 464926 501154 507192 697389 751731 797016 929852 1002308 1394778 1503462 1754039 1859704 2004616 2756347 2789556 3006924 3508078 5262117 5512694 5579112 6013848 7016156 8269041 10524234 11025388 14032312 16538082 19294429 21048468 22050776 33076164 38588858 42096936 57883287 66152328 77177716 115766574 154355432 231533148 463066296