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845704561 = 13222372
BaseRepresentation
bin110010011010000…
…110110101110001
32011221100020120011
4302122012311301
53213000021221
6215530214521
726646240652
oct6232066561
92157306504
10845704561
113a4418399
121b7284441
13106296100
1480465529
154e3a41e1
hex32686d71

845704561 has 9 divisors (see below), whose sum is σ = 916172481. Its totient is φ = 780301392.

The previous prime is 845704537. The next prime is 845704633. The reversal of 845704561 is 165407548.

The square root of 845704561 is 29081.

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

845704561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4704561 + 841000000 = 2169^2 + 29000^2 .

It is a de Polignac number, because none of the positive numbers 2k-845704561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (845714561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 376935 + ... + 379171.

Almost surely, 2845704561 is an apocalyptic number.

845704561 is the 29081-st square number.

845704561 is the 14541-st centered octagonal number.

It is an amenable number.

845704561 is a deficient number, since it is larger than the sum of its proper divisors (70467920).

845704561 is an frugal number, since it uses more digits than its factorization.

845704561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The cubic root of 845704561 is about 945.6698817752.

The spelling of 845704561 in words is "eight hundred forty-five million, seven hundred four thousand, five hundred sixty-one".

Divisors: 1 13 169 2237 29081 378053 5004169 65054197 845704561