Search a number
-
+
47726956225 = 5213233612
BaseRepresentation
bin101100011100101111…
…111000111011000001
311120012011200120202101
4230130233320323001
51240221100044400
633531522150401
73306501301654
oct543457707301
9146164616671
1047726956225
1119271693683
1292bb7b2401
134667b75300
14244a8bb89b
15139504a56a
hexb1cbf8ec1

47726956225 has 27 divisors (see below), whose sum is σ = 64103101659. Its totient is φ = 35234035200.

The previous prime is 47726956217. The next prime is 47726956229. The reversal of 47726956225 is 52265962774.

It is a happy number.

The square root of 47726956225 is 218465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 36154360449 + 11572595776 = 190143^2 + 107576^2 .

It is not a de Polignac number, because 47726956225 - 23 = 47726956217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47726956229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14198545 + ... + 14201905.

Almost surely, 247726956225 is an apocalyptic number.

47726956225 is the 218465-th square number.

47726956225 is the 109233-rd centered octagonal number.

It is an amenable number.

47726956225 is a deficient number, since it is larger than the sum of its proper divisors (16376145434).

47726956225 is an frugal number, since it uses more digits than its factorization.

47726956225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 3379 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 55.

The spelling of 47726956225 in words is "forty-seven billion, seven hundred twenty-six million, nine hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 3361 4225 16805 43693 84025 218465 568009 1092325 2840045 11296321 14200225 56481605 146852173 282408025 734260865 1909078249 3671304325 9545391245 47726956225