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780475969 = 721323072
BaseRepresentation
bin101110100001010…
…001111001000001
32000101121021202101
4232201101321001
53044300212334
6205240150401
725224636100
oct5641217101
92011537671
10780475969
11370616169
12199468401
13c5908300
1475926037
15487bc214
hex2e851e41

780475969 has 27 divisors (see below), whose sum is σ = 986324067. Its totient is φ = 615507984.

The previous prime is 780475961. The next prime is 780475987. The reversal of 780475969 is 969574087.

The square root of 780475969 is 27937.

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., 115455025 + 665020944 = 10745^2 + 25788^2 .

It is not a de Polignac number, because 780475969 - 23 = 780475961 is a prime.

It is a super-2 number, since 2×7804759692 = 1218285476372977922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (780475961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2542114 + ... + 2542420.

It is an arithmetic number, because the mean of its divisors is an integer number (36530521).

Almost surely, 2780475969 is an apocalyptic number.

780475969 is the 27937-th square number.

780475969 is the 13969-th centered octagonal number.

It is an amenable number.

780475969 is a deficient number, since it is larger than the sum of its proper divisors (205848098).

780475969 is an equidigital number, since it uses as much as digits as its factorization.

780475969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The cubic root of 780475969 is about 920.7036083306.

The spelling of 780475969 in words is "seven hundred eighty million, four hundred seventy-five thousand, nine hundred sixty-nine".

Divisors: 1 7 13 49 91 169 307 637 1183 2149 3991 8281 15043 27937 51883 94249 195559 363181 659743 1225237 2542267 4618201 8576659 15928081 60036613 111496567 780475969