Search a number
-
+
200608848 = 243211891423
BaseRepresentation
bin10111111010100…
…00110001010000
3111222110222121100
423331100301100
5402323440343
631523424400
74654101306
oct1375206120
9458428540
10200608848
11a3269440
1257225100
133273b47b
141c900276
15129299d3
hexbf50c50

200608848 has 120 divisors (see below), whose sum is σ = 619781760. Its totient is φ = 60065280.

The previous prime is 200608847. The next prime is 200608853. The reversal of 200608848 is 848806002.

200608848 is a `hidden beast` number, since 2 + 0 + 0 + 608 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200608847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140265 + ... + 141687.

It is an arithmetic number, because the mean of its divisors is an integer number (5164848).

Almost surely, 2200608848 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 200608848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309890880).

200608848 is an abundant number, since it is smaller than the sum of its proper divisors (419172912).

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

200608848 is a wasteful number, since it uses less digits than its factorization.

200608848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 200608848 is about 14163.6452934970. The cubic root of 200608848 is about 585.3963739310.

The spelling of 200608848 in words is "two hundred million, six hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 89 99 132 144 176 178 198 264 267 356 396 528 534 712 792 801 979 1068 1423 1424 1584 1602 1958 2136 2846 2937 3204 3916 4269 4272 5692 5874 6408 7832 8538 8811 11384 11748 12807 12816 15653 15664 17076 17622 22768 23496 25614 31306 34152 35244 46959 46992 51228 62612 68304 70488 93918 102456 125224 126647 140877 140976 187836 204912 250448 253294 281754 375672 379941 506588 563508 751344 759882 1013176 1127016 1139823 1393117 1519764 2026352 2254032 2279646 2786234 3039528 4179351 4559292 5572468 6079056 8358702 9118584 11144936 12538053 16717404 18237168 22289872 25076106 33434808 50152212 66869616 100304424 200608848