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532393500409 = 5928321492
BaseRepresentation
bin1111011111101010010…
…00000001111011111001
31212220012102022000220221
413233311020001323321
532210320214003114
61044324520220041
753315131041451
oct7576510017371
91786172260827
10532393500409
11195872284841
128722160a621
133b2873642b4
141baa74b8d61
15dcae94c524
hex7bf5201ef9

532393500409 has 27 divisors (see below), whose sum is σ = 551877324943. Its totient is φ = 513593990864.

The previous prime is 532393500403. The next prime is 532393500451. The reversal of 532393500409 is 904005393235.

The square root of 532393500409 is 729653.

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

It can be written as a sum of positive squares in only one way, i.e., 62373564009 + 470019936400 = 249747^2 + 685580^2 .

It is not a de Polignac number, because 532393500409 - 229 = 531856629497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (532393500403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3573110667 + ... + 3573110815.

Almost surely, 2532393500409 is an apocalyptic number.

532393500409 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

532393500409 is the 729653-rd square number.

532393500409 is the 364827-th centered octagonal number.

It is an amenable number.

532393500409 is a deficient number, since it is larger than the sum of its proper divisors (19483824534).

532393500409 is an frugal number, since it uses more digits than its factorization.

532393500409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 43.

The spelling of 532393500409 in words is "five hundred thirty-two billion, three hundred ninety-three million, five hundred thousand, four hundred nine".

Divisors: 1 59 83 149 3481 4897 6889 8791 12367 22201 288923 406451 518669 729653 1026461 1309859 1842683 23980609 43049527 60561199 77281681 108718297 152942689 3573110741 6414379523 9023618651 532393500409