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769008361 = 11225212
BaseRepresentation
bin101101110101100…
…010001011101001
31222121000200011011
4231311202023221
53033331231421
6204150303521
725025314612
oct5565421351
91877020134
10769008361
113650a3400
12195657ba1
13c3421744
14741bcc09
15477a44e1
hex2dd622e9

769008361 has 9 divisors (see below), whose sum is σ = 845609079. Its totient is φ = 698821200.

The previous prime is 769008349. The next prime is 769008397. The reversal of 769008361 is 163800967.

The square root of 769008361 is 27731.

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., 609961 + 768398400 = 781^2 + 27720^2 .

It is not a de Polignac number, because 769008361 - 25 = 769008329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (769005361) 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, 303781 + ... + 306301.

Almost surely, 2769008361 is an apocalyptic number.

769008361 is the 27731-st square number.

769008361 is the 13866-th centered octagonal number.

It is an amenable number.

769008361 is a deficient number, since it is larger than the sum of its proper divisors (76600718).

769008361 is an frugal number, since it uses more digits than its factorization.

769008361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The cubic root of 769008361 is about 916.1720122322.

The spelling of 769008361 in words is "seven hundred sixty-nine million, eight thousand, three hundred sixty-one".

Divisors: 1 11 121 2521 27731 305041 6355441 69909851 769008361