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42289043449 = 23289412
BaseRepresentation
bin100111011000100111…
…111001011111111001
311001011012021222210111
4213120213321133321
51143101443342244
631232144544321
73024650636602
oct473047713771
9131135258714
1042289043449
1116a31076294
1282426220a1
133cac38c643
1420925c6da9
151177941e34
hex9d89f97f9

42289043449 has 9 divisors (see below), whose sum is σ = 44212583919. Its totient is φ = 40445865240.

The previous prime is 42289043443. The next prime is 42289043507. The reversal of 42289043449 is 94434098224.

The square root of 42289043449 is 205643.

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., 27874639849 + 14414403600 = 166957^2 + 120060^2 .

It is not a de Polignac number, because 42289043449 - 23 = 42289043441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42289043441) 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 8 ways as a sum of consecutive naturals, for example, 4725319 + ... + 4734259.

Almost surely, 242289043449 is an apocalyptic number.

42289043449 is the 205643-rd square number.

42289043449 is the 102822-nd centered octagonal number.

It is an amenable number.

42289043449 is a deficient number, since it is larger than the sum of its proper divisors (1923540470).

42289043449 is an frugal number, since it uses more digits than its factorization.

42289043449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17928 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 42289043449 by its sum of digits (49), we get a square (2072163129001 = 14395012).

The spelling of 42289043449 in words is "forty-two billion, two hundred eighty-nine million, forty-three thousand, four hundred forty-nine".

Divisors: 1 23 529 8941 205643 4729789 79941481 1838654063 42289043449