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488068416 = 263711317
BaseRepresentation
bin11101000101110…
…101010101000000
31021000101110000000
4131011311111000
51444421142131
6120233000000
715044340663
oct3505652500
91230343000
10488068416
11230558030
12117553000
137a1682a4
1448b6b6da
152ccacce6
hex1d175540

488068416 has 224 divisors, whose sum is σ = 1589592960. Its totient is φ = 147432960.

The previous prime is 488068411. The next prime is 488068417. The reversal of 488068416 is 614860884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488068411) 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 31 ways as a sum of consecutive naturals, for example, 1539490 + ... + 1539806.

Almost surely, 2488068416 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 488068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794796480).

488068416 is an abundant number, since it is smaller than the sum of its proper divisors (1101524544).

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

488068416 is an equidigital number, since it uses as much as digits as its factorization.

488068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 488068416 is about 22092.2705035042. The cubic root of 488068416 is about 787.3362271678.

The spelling of 488068416 in words is "four hundred eighty-eight million, sixty-eight thousand, four hundred sixteen".