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2726406225 = 3252594
BaseRepresentation
bin1010001010000001…
…1010100001010001
321001000012210020100
42202200122201101
521040424444400
61130312203013
7124364033124
oct24240324121
97030183210
102726406225
111179a92394
12641099469
13345b00a2a
141bc1483bb
1510e54e100
hexa281a851

2726406225 has 45 divisors (see below), whose sum is σ = 4967491243. Its totient is φ = 1429437840.

The previous prime is 2726406217. The next prime is 2726406239. The reversal of 2726406225 is 5226046272.

The square root of 2726406225 is 52215.

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

2726406225 is a `hidden beast` number, since 2 + 7 + 2 + 640 + 6 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 981506241 + 1744899984 = 31329^2 + 41772^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2726406225 - 23 = 2726406217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2726406225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46210246 + ... + 46210304.

Almost surely, 22726406225 is an apocalyptic number.

2726406225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2726406225 is the 52215-th square number.

2726406225 is the 26108-th centered octagonal number.

It is an amenable number.

2726406225 is a deficient number, since it is larger than the sum of its proper divisors (2241085018).

2726406225 is an frugal number, since it uses more digits than its factorization.

2726406225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 2726406225 is about 1397.0014435937.

Multiplying 2726406225 by its sum of digits (36), we get a square (98150624100 = 3132902).

The spelling of 2726406225 in words is "two billion, seven hundred twenty-six million, four hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 59 75 177 225 295 531 885 1475 2655 3481 4425 10443 13275 17405 31329 52215 87025 156645 205379 261075 616137 783225 1026895 1848411 3080685 5134475 9242055 12117361 15403425 36352083 46210275 60586805 109056249 181760415 302934025 545281245 908802075 2726406225