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427304079225 = 3252435792
BaseRepresentation
bin1100011011111010100…
…11101100111101111001
31111211221120000022022100
412031331103230331321
524000104321013400
6524144545214013
742604664513352
oct6157523547571
91454846008270
10427304079225
11155245016231
126a993331309
13313aa31763a
141697855ad29
15b1ad9e6100
hex637d4ecf79

427304079225 has 27 divisors (see below), whose sum is σ = 765366646863. Its totient is φ = 227890279440.

The previous prime is 427304079217. The next prime is 427304079253. The reversal of 427304079225 is 522970403724.

The square root of 427304079225 is 653685.

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., 153829468521 + 273474610704 = 392211^2 + 522948^2 .

It is not a de Polignac number, because 427304079225 - 23 = 427304079217 is a prime.

It is a super-2 number, since 2×4273040792252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9783486 + ... + 9827064.

Almost surely, 2427304079225 is an apocalyptic number.

427304079225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

427304079225 is the 653685-th square number.

427304079225 is the 326843-rd centered octagonal number.

It is an amenable number.

427304079225 is a deficient number, since it is larger than the sum of its proper divisors (338062567638).

427304079225 is an frugal number, since it uses more digits than its factorization.

427304079225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87174 (or 43587 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 427304079225 in words is "four hundred twenty-seven billion, three hundred four million, seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 43579 130737 217895 392211 653685 1089475 1961055 3268425 9805275 1899129241 5697387723 9495646205 17092163169 28486938615 47478231025 85460815845 142434693075 427304079225