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487876608 = 2113417173
BaseRepresentation
bin11101000101000…
…110100000000000
31021000000200220000
4131011012200000
51444344022413
6120224520000
715042611532
oct3505064000
91230020800
10487876608
11230436a0a
12117480000
137a0cbbab
1448b1b852
152cc71073
hex1d146800

487876608 has 240 divisors, whose sum is σ = 1551890340. Its totient is φ = 152174592.

The previous prime is 487876567. The next prime is 487876637. The reversal of 487876608 is 806678784.

It can be written as a sum of positive squares in 2 ways, for example, as 418120704 + 69755904 = 20448^2 + 8352^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2820010 + ... + 2820182.

Almost surely, 2487876608 is an apocalyptic number.

487876608 is a gapful number since it is divisible by the number (48) 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 487876608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775945170).

487876608 is an abundant number, since it is smaller than the sum of its proper divisors (1064013732).

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

487876608 is a wasteful number, since it uses less digits than its factorization.

487876608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 487876608 is about 22087.9290111137. The cubic root of 487876608 is about 787.2330741606.

The spelling of 487876608 in words is "four hundred eighty-seven million, eight hundred seventy-six thousand, six hundred eight".