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2006450256 = 243533792081
BaseRepresentation
bin111011110011000…
…0000000001010000
312011211111020022110
41313212000001100
513102122402011
6531033105320
7100502355126
oct16746000120
95154436273
102006450256
1193a652858
1247bb58240
1325c8c5295
14150697916
15bb238ba6
hex77980050

2006450256 has 80 divisors (see below), whose sum is σ = 5297607360. Its totient is φ = 654151680.

The previous prime is 2006450239. The next prime is 2006450263. The reversal of 2006450256 is 6520546002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963136 + ... + 965216.

It is an arithmetic number, because the mean of its divisors is an integer number (66220092).

Almost surely, 22006450256 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 2006450256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648803680).

2006450256 is an abundant number, since it is smaller than the sum of its proper divisors (3291157104).

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

2006450256 is a wasteful number, since it uses less digits than its factorization.

2006450256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2006450256 is about 44793.4175521359. The cubic root of 2006450256 is about 1261.2740652717.

Adding to 2006450256 its reverse (6520546002), we get a palindrome (8526996258).

The spelling of 2006450256 in words is "two billion, six million, four hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 379 424 636 758 848 1137 1272 1516 2081 2274 2544 3032 4162 4548 6064 6243 8324 9096 12486 16648 18192 20087 24972 33296 40174 49944 60261 80348 99888 110293 120522 160696 220586 241044 321392 330879 441172 482088 661758 788699 882344 964176 1323516 1577398 1764688 2366097 2647032 3154796 4732194 5294064 6309592 9464388 12619184 18928776 37857552 41801047 83602094 125403141 167204188 250806282 334408376 501612564 668816752 1003225128 2006450256