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39396295225 = 52725321072
BaseRepresentation
bin100100101100001100…
…111100001000111001
310202200121002011020101
4210230030330020321
51121140422421400
630033131155401
72563163661400
oct445414741071
9122617064211
1039396295225
11157871aa781
1277758a5b61
13393ac8a5c1
141c9a33c637
1510589d656a
hex92c33c239

39396295225 has 81 divisors (see below), whose sum is σ = 58465949997. Its totient is φ = 26257183680.

The previous prime is 39396295219. The next prime is 39396295241. The reversal of 39396295225 is 52259269393.

The square root of 39396295225 is 198485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 296769529 + 39099525696 = 17227^2 + 197736^2 .

It is not a de Polignac number, because 39396295225 - 23 = 39396295217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 368189622 + ... + 368189728.

Almost surely, 239396295225 is an apocalyptic number.

39396295225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39396295225 is the 198485-th square number.

39396295225 is the 99243-rd centered octagonal number.

It is an amenable number.

39396295225 is a deficient number, since it is larger than the sum of its proper divisors (19069654772).

39396295225 is an equidigital number, since it uses as much as digits as its factorization.

39396295225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 55.

The spelling of 39396295225 in words is "thirty-nine billion, three hundred ninety-six million, two hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 53 107 175 245 265 371 535 749 1225 1325 1855 2597 2675 2809 3745 5243 5671 9275 11449 12985 14045 18725 19663 26215 28355 39697 57245 64925 70225 80143 98315 131075 137641 141775 198485 277879 286225 300563 400715 491575 561001 606797 688205 992425 1389395 1502815 2003575 2103941 2805005 3033985 3441025 4247579 6946975 7514075 10519705 14025025 14727587 15169925 21237895 29733053 32160241 52598525 73637935 106189475 148665265 160801205 225121687 368189675 743326325 804006025 1125608435 1575851809 5628042175 7879259045 39396295225