Search a number
-
+
450801486 = 2321997107127
BaseRepresentation
bin11010110111101…
…010111101001110
31011102021002101100
4122313222331032
51410401121421
6112422123530
714112515022
oct3267527516
91142232340
10450801486
11211513913
12106b805a6
137251a755
1443c2a382
152989ac26
hex1adeaf4e

450801486 has 96 divisors (see below), whose sum is σ = 1056706560. Its totient is φ = 138475008.

The previous prime is 450801457. The next prime is 450801493. The reversal of 450801486 is 684108054.

450801486 is a `hidden beast` number, since 4 + 508 + 0 + 148 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 450801486.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3549555 + ... + 3549681.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2450801486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450801486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

450801486 is an abundant number, since it is smaller than the sum of its proper divisors (605905074).

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

450801486 is a wasteful number, since it uses less digits than its factorization.

450801486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 450801486 is about 21232.0862375792. The cubic root of 450801486 is about 766.7641153593.

The spelling of 450801486 in words is "four hundred fifty million, eight hundred one thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 97 107 114 127 171 194 214 254 291 321 342 381 582 642 762 873 963 1143 1746 1843 1926 2033 2286 2413 3686 4066 4826 5529 6099 7239 10379 11058 12198 12319 13589 14478 16587 18297 20758 21717 24638 27178 31137 33174 36594 36957 40767 43434 62274 73914 81534 93411 110871 122301 186822 197201 221742 234061 244602 258191 394402 468122 516382 591603 702183 774573 1183206 1318133 1404366 1549146 1774809 2106549 2323719 2636266 3549618 3954399 4213098 4647438 7908798 11863197 23726394 25044527 50089054 75133581 150267162 225400743 450801486