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9406090225 = 52721721632
BaseRepresentation
bin10001100001010010…
…11000101111110001
3220021112012220002001
420300221120233301
5123230424341400
64153205054001
7452043306400
oct106051305761
926245186061
109406090225
113a97546894
1219a60b7301
13b6b94497c
14653323637
153a0b94a6a
hex230a58bf1

9406090225 has 81 divisors (see below), whose sum is σ = 14501823777. Its totient is φ = 6033242880.

The previous prime is 9406090171. The next prime is 9406090273. The reversal of 9406090225 is 5220906049.

The square root of 9406090225 is 96985.

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 220017889 + 9186072336 = 14833^2 + 95844^2 .

It is not a de Polignac number, because 9406090225 - 213 = 9406082033 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, 57705994 + ... + 57706156.

Almost surely, 29406090225 is an apocalyptic number.

9406090225 is the 96985-th square number.

9406090225 is the 48493-rd centered octagonal number.

It is an amenable number.

9406090225 is a deficient number, since it is larger than the sum of its proper divisors (5095733552).

9406090225 is a wasteful number, since it uses less digits than its factorization.

9406090225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 9406090225 is about 2110.9099812515.

The spelling of 9406090225 in words is "nine billion, four hundred six million, ninety thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 163 175 245 289 425 595 815 833 1141 1225 1445 2023 2771 2975 4075 4165 5705 7225 7987 10115 13855 14161 19397 20825 26569 28525 39935 47107 50575 69275 70805 96985 132845 135779 185983 199675 235535 329749 354025 451673 484925 664225 678895 929915 1177675 1301881 1648745 2258365 2308243 3161711 3394475 4649575 6509405 7678441 8243725 11291825 11541215 15808555 22131977 32547025 38392205 53749087 57706075 79042775 110659885 191961025 268745435 376243609 553299425 1343727175 1881218045 9406090225