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488009088 = 2732773829
BaseRepresentation
bin11101000101100…
…110110110000000
31021000021102121200
4131011212312000
51444412242323
6120231421200
715044003010
oct3505466600
91230242550
10488009088
112305174a6
12117524800
137a147298
1448b53c40
152cc9a443
hex1d166d80

488009088 has 192 divisors, whose sum is σ = 1628858400. Its totient is φ = 137355264.

The previous prime is 488009083. The next prime is 488009111. The reversal of 488009088 is 880900884.

488009088 is a `hidden beast` number, since 488 + 0 + 0 + 90 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488009083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 588258 + ... + 589086.

Almost surely, 2488009088 is an apocalyptic number.

488009088 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 488009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814429200).

488009088 is an abundant number, since it is smaller than the sum of its proper divisors (1140849312).

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

488009088 is a wasteful number, since it uses less digits than its factorization.

488009088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 488009088 is about 22090.9277306319. The cubic root of 488009088 is about 787.3043238697.

The spelling of 488009088 in words is "four hundred eighty-eight million, nine thousand, eighty-eight".