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663240480 = 253572163173
BaseRepresentation
bin100111100010000…
…011111100100000
31201020000002220020
4213202003330200
52324242143410
6145451313440
722302310500
oct4742037440
91636002806
10663240480
11310422431
1216614b880
13a753b7b6
1464129a00
153d360a70
hex27883f20

663240480 has 288 divisors, whose sum is σ = 2459346624. Its totient is φ = 149796864.

The previous prime is 663240439. The next prime is 663240511. The reversal of 663240480 is 84042366.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3833674 + ... + 3833846.

It is an arithmetic number, because the mean of its divisors is an integer number (8539398).

Almost surely, 2663240480 is an apocalyptic number.

663240480 is a gapful number since it is divisible by the number (60) 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 663240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229673312).

663240480 is an abundant number, since it is smaller than the sum of its proper divisors (1796106144).

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

663240480 is a wasteful number, since it uses less digits than its factorization.

663240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 663240480 is about 25753.4556904506. The cubic root of 663240480 is about 872.0813688344.

The spelling of 663240480 in words is "six hundred sixty-three million, two hundred forty thousand, four hundred eighty".