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489552336 = 24347213593
BaseRepresentation
bin11101001011011…
…111100111010000
31021010011211120000
4131023133213100
52000311133321
6120324450000
715063061200
oct3513374720
91233154500
10489552336
11231380a09
12117b49900
137a567850
1449036400
152cea2826
hex1d2df9d0

489552336 has 300 divisors, whose sum is σ = 1778019012. Its totient is φ = 128894976.

The previous prime is 489552319. The next prime is 489552373. The reversal of 489552336 is 633255984.

489552336 is a `hidden beast` number, since 4 + 8 + 95 + 523 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178382736 + 311169600 = 13356^2 + 17640^2 .

It is a super-2 number, since 2×4895523362 = 479322979366113792, which contains 22 as substring.

Its product of digits (777600) is a multiple of the sum of its prime factors (640).

It is a junction number, because it is equal to n+sod(n) for n = 489552291 and 489552300.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 825256 + ... + 825848.

Almost surely, 2489552336 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 489552336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889009506).

489552336 is an abundant number, since it is smaller than the sum of its proper divisors (1288466676).

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

489552336 is a wasteful number, since it uses less digits than its factorization.

489552336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 618 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 489552336 is about 22125.8296115649. The cubic root of 489552336 is about 788.1333571444.

The spelling of 489552336 in words is "four hundred eighty-nine million, five hundred fifty-two thousand, three hundred thirty-six".