Search a number
-
+
1490481216 = 26337229607
BaseRepresentation
bin101100011010110…
…1111000001000000
310211212121021212000
41120311233001000
511023030344331
6403522104000
751635611200
oct13065570100
93755537760
101490481216
116a5379664
123571ab000
131a9a3b763
14101d46400
158acb90e6
hex58d6f040

1490481216 has 336 divisors, whose sum is σ = 5281574400. Its totient is φ = 410489856.

The previous prime is 1490481191. The next prime is 1490481221. The reversal of 1490481216 is 6121840941.

1490481216 is a `hidden beast` number, since 1 + 490 + 48 + 121 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2455185 + ... + 2455791.

Almost surely, 21490481216 is an apocalyptic number.

1490481216 is a gapful number since it is divisible by the number (16) 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 1490481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640787200).

1490481216 is an abundant number, since it is smaller than the sum of its proper divisors (3791093184).

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

1490481216 is a wasteful number, since it uses less digits than its factorization.

1490481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1490481216 is about 38606.7509122433. The cubic root of 1490481216 is about 1142.2877052251.

The spelling of 1490481216 in words is "one billion, four hundred ninety million, four hundred eighty-one thousand, two hundred sixteen".