Search a number
-
+
1990459008 = 27341723491
BaseRepresentation
bin111011010100011…
…1111111010000000
312010201101210110000
41312220333322000
513034024142013
6525302240000
7100216423326
oct16650777200
95121353400
101990459008
1193162034a
12476726000
132594b66c5
1414c4d3d16
15b9b2a973
hex76a3fe80

1990459008 has 320 divisors, whose sum is σ = 6558045120. Its totient is φ = 596090880.

The previous prime is 1990459001. The next prime is 1990459033. The reversal of 1990459008 is 8009540991.

1990459008 is a `hidden beast` number, since 199 + 0 + 459 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990459001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4053643 + ... + 4054133.

It is an arithmetic number, because the mean of its divisors is an integer number (20493891).

Almost surely, 21990459008 is an apocalyptic number.

1990459008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279022560).

1990459008 is an abundant number, since it is smaller than the sum of its proper divisors (4567586112).

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

1990459008 is a wasteful number, since it uses less digits than its factorization.

1990459008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1990459008 is about 44614.5604931843. The cubic root of 1990459008 is about 1257.9143727794.

Adding to 1990459008 its reverse (8009540991), we get a palindrome (9999999999).

The spelling of 1990459008 in words is "one billion, nine hundred ninety million, four hundred fifty-nine thousand, eight".