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497528497449 = 3418124332
BaseRepresentation
bin1110011110101110000…
…00100110010100101001
31202120012121122101010000
413033113000212110221
531122414243404244
61020321134213213
750642135310504
oct7172700462451
91676177571100
10497528497449
11182000959005
1280511354209
1337bbc0b8729
141a11acb013b
15ce1db86169
hex73d7026529

497528497449 has 45 divisors (see below), whose sum is σ = 749080434069. Its totient is φ = 329091361920.

The previous prime is 497528497421. The next prime is 497528497457. The reversal of 497528497449 is 944794825794.

The square root of 497528497449 is 705357.

It is a perfect power (a square), and thus also a powerful number.

497528497449 is a `hidden beast` number, since 4 + 9 + 7 + 528 + 4 + 97 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 404705907225 + 92822590224 = 636165^2 + 304668^2 .

It is not a de Polignac number, because 497528497449 - 29 = 497528496937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (497528497489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1149026337 + ... + 1149026769.

Almost surely, 2497528497449 is an apocalyptic number.

497528497449 is the 705357-th square number.

497528497449 is the 352679-th centered octagonal number.

It is an amenable number.

497528497449 is a deficient number, since it is larger than the sum of its proper divisors (251551936620).

497528497449 is an frugal number, since it uses more digits than its factorization.

497528497449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 617 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 497528497449 in words is "four hundred ninety-seven billion, five hundred twenty-eight million, four hundred ninety-seven thousand, four hundred forty-nine".

Divisors: 1 3 9 27 81 181 433 543 1299 1629 3897 4887 11691 14661 32761 35073 78373 98283 187489 235119 294849 562467 705357 884547 1687401 2116071 2653641 5062203 6348213 14185513 15186609 33935509 42556539 101806527 127669617 305419581 383008851 916258743 1149026553 2748776229 6142327129 18426981387 55280944161 165842832483 497528497449