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496717056 = 28331147139
BaseRepresentation
bin11101100110110…
…100110100000000
31021121122211201000
4131212310310000
52004124421211
6121142212000
715211011453
oct3546646400
91247584630
10496717056
11235424970
1211a424000
137bba5a24
1449d7d49a
152d91a656
hex1d9b4d00

496717056 has 288 divisors, whose sum is σ = 1648281600. Its totient is φ = 146257920.

The previous prime is 496717051. The next prime is 496717063. The reversal of 496717056 is 650717694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496717051) 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, 3573435 + ... + 3573573.

It is an arithmetic number, because the mean of its divisors is an integer number (5723200).

Almost surely, 2496717056 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 496717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824140800).

496717056 is an abundant number, since it is smaller than the sum of its proper divisors (1151564544).

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

496717056 is a wasteful number, since it uses less digits than its factorization.

496717056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 496717056 is about 22287.1500196862. The cubic root of 496717056 is about 791.9595938982.

The spelling of 496717056 in words is "four hundred ninety-six million, seven hundred seventeen thousand, fifty-six".