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1045293561 = 321328292
BaseRepresentation
bin111110010011011…
…110100111111001
32200211220102012100
4332103132213321
54120043343221
6251420134013
734621564044
oct7623364771
92624812170
101045293561
1149704a584
12252097309
13138738300
149cb7bc5b
1561b7b926
hex3e4de9f9

1045293561 has 27 divisors (see below), whose sum is σ = 1636920909. Its totient is φ = 642481632.

The previous prime is 1045293559. The next prime is 1045293577. The reversal of 1045293561 is 1653925401.

The square root of 1045293561 is 32331.

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

1045293561 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 2 + 93 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100100025 + 945193536 = 10005^2 + 30744^2 .

It is not a de Polignac number, because 1045293561 - 21 = 1045293559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1045293521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1260495 + ... + 1261323.

Almost surely, 21045293561 is an apocalyptic number.

1045293561 is the 32331-st square number.

1045293561 is the 16166-th centered octagonal number.

It is an amenable number.

1045293561 is a deficient number, since it is larger than the sum of its proper divisors (591627348).

1045293561 is an frugal number, since it uses more digits than its factorization.

1045293561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 1045293561 is about 1014.8754766470.

Multiplying 1045293561 by its sum of digits (36), we get a square (37630568196 = 1939862).

Multiplying 1045293561 by its product of nonzero digits (32400), we get a square (33867511376400 = 58195802).

The spelling of 1045293561 in words is "one billion, forty-five million, two hundred ninety-three thousand, five hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 507 829 1521 2487 7461 10777 32331 96993 140101 420303 687241 1260909 2061723 6185169 8934133 26802399 80407197 116143729 348431187 1045293561