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487584136 = 23134122789
BaseRepresentation
bin11101000011111…
…111000110001000
31020222110211200201
4131003333012020
51444310143021
6120214341544
715040253044
oct3503770610
91228424621
10487584136
112302571a6
1211735a8b4
137a028a30
1448a83024
152cc14591
hex1d0ff188

487584136 has 48 divisors (see below), whose sum is σ = 1009505700. Its totient is φ = 219471360.

The previous prime is 487584133. The next prime is 487584197. The reversal of 487584136 is 631485784.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4024036 + 483560100 = 2006^2 + 21990^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (487584131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173430 + ... + 176218.

Almost surely, 2487584136 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 487584136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504752850).

487584136 is an abundant number, since it is smaller than the sum of its proper divisors (521921564).

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

487584136 is a wasteful number, since it uses less digits than its factorization.

487584136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2845 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 487584136 is about 22081.3073888300. The cubic root of 487584136 is about 787.0757326990.

The spelling of 487584136 in words is "four hundred eighty-seven million, five hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 1681 2132 2789 3362 4264 5578 6724 11156 13448 21853 22312 36257 43706 72514 87412 114349 145028 174824 228698 290056 457396 914792 1486537 2973074 4688309 5946148 9376618 11892296 18753236 37506472 60948017 121896034 243792068 487584136