Search a number
-
+
438497856 = 26321136737
BaseRepresentation
bin11010001000101…
…111001001000000
31010120002222222100
4122020233021000
51344223412411
6111302310400
713603112256
oct3210571100
91116088870
10438497856
1120557aa25
12102a28400
136cb004b4
14423465d6
152876a456
hex1a22f240

438497856 has 84 divisors (see below), whose sum is σ = 1268185932. Its totient is φ = 144850944.

The previous prime is 438497837. The next prime is 438497869. The reversal of 438497856 is 658794834.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 350438400 = 9384^2 + 18720^2 .

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 11 ways as a sum of consecutive naturals, for example, 61720 + ... + 68456.

Almost surely, 2438497856 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 438497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634092966).

438497856 is an abundant number, since it is smaller than the sum of its proper divisors (829688076).

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

438497856 is a wasteful number, since it uses less digits than its factorization.

438497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6855 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 438497856 is about 20940.3403983794. The cubic root of 438497856 is about 759.7239625419.

The spelling of 438497856 in words is "four hundred thirty-eight million, four hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2712 3616 4068 5424 6737 7232 8136 10848 13474 16272 20211 21696 26948 32544 40422 53896 60633 65088 80844 107792 121266 161688 215584 242532 323376 431168 485064 646752 761281 970128 1293504 1522562 1940256 2283843 3045124 3880512 4567686 6090248 6851529 9135372 12180496 13703058 18270744 24360992 27406116 36541488 48721984 54812232 73082976 109624464 146165952 219248928 438497856