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488816509 = 372536737
BaseRepresentation
bin11101001000101…
…011111101111101
31021001210110012011
4131020223331331
52000114112014
6120301011221
715053605006
oct3510537575
91231713164
10488816509
11230a19095
12117853b11
137a36a94c
1448cc41ad
152cda97c4
hex1d22bf7d

488816509 has 12 divisors (see below), whose sum is σ = 511939764. Its totient is φ = 466562304.

The previous prime is 488816507. The next prime is 488816543. The reversal of 488816509 is 905618884.

It can be written as a sum of positive squares in 6 ways, for example, as 144528484 + 344288025 = 12022^2 + 18555^2 .

It is not a de Polignac number, because 488816509 - 21 = 488816507 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488816501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69189 + ... + 75925.

It is an arithmetic number, because the mean of its divisors is an integer number (42661647).

Almost surely, 2488816509 is an apocalyptic number.

It is an amenable number.

488816509 is a deficient number, since it is larger than the sum of its proper divisors (23123255).

488816509 is an equidigital number, since it uses as much as digits as its factorization.

488816509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The square root of 488816509 is about 22109.1951232966. The cubic root of 488816509 is about 787.7382883161.

The spelling of 488816509 in words is "four hundred eighty-eight million, eight hundred sixteen thousand, five hundred nine".

Divisors: 1 37 53 1369 1961 6737 72557 249269 357061 9222953 13211257 488816509