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496375488 = 26327243409
BaseRepresentation
bin11101100101100…
…001011011000000
31021121000111011100
4131211201123000
52004033003423
6121131014400
715205056600
oct3545413300
91247014140
10496375488
11235211284
1211a29a400
137bab640b
1449cd0c00
152d89e343
hex1d9616c0

496375488 has 252 divisors, whose sum is σ = 1697690280. Its totient is φ = 138184704.

The previous prime is 496375487. The next prime is 496375499. The reversal of 496375488 is 884573694.

496375488 is a `hidden beast` number, since 4 + 96 + 3 + 7 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (496375487) 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 35 ways as a sum of consecutive naturals, for example, 1213428 + ... + 1213836.

Almost surely, 2496375488 is an apocalyptic number.

496375488 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 496375488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848845140).

496375488 is an abundant number, since it is smaller than the sum of its proper divisors (1201314792).

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

496375488 is a wasteful number, since it uses less digits than its factorization.

496375488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 496375488 is about 22279.4858109428. The cubic root of 496375488 is about 791.7780216597.

The spelling of 496375488 in words is "four hundred ninety-six million, three hundred seventy-five thousand, four hundred eighty-eight".