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41487579225 = 32523723672
BaseRepresentation
bin100110101000110110…
…100011100001011001
310222002100012101120100
4212220312203201121
51134431310013400
631020434450013
72666046414321
oct465066434131
9128070171510
1041487579225
111665a725364
12805a133909
133bb2316161
142017d9a281
15112c3cb100
hex9a8da3859

41487579225 has 81 divisors (see below), whose sum is σ = 76580155197. Its totient is φ = 21470028480.

The previous prime is 41487579173. The next prime is 41487579233. The reversal of 41487579225 is 52297578414.

The square root of 41487579225 is 203685.

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

41487579225 is a `hidden beast` number, since 4 + 1 + 48 + 7 + 579 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3938441049 + 37549138176 = 62757^2 + 193776^2 .

It is not a de Polignac number, because 41487579225 - 211 = 41487577177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113044992 + ... + 113045358.

Almost surely, 241487579225 is an apocalyptic number.

41487579225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41487579225 is the 203685-th square number.

41487579225 is the 101843-rd centered octagonal number.

It is an amenable number.

41487579225 is a deficient number, since it is larger than the sum of its proper divisors (35092575972).

41487579225 is an equidigital number, since it uses as much as digits as its factorization.

41487579225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 412 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 41487579225 in words is "forty-one billion, four hundred eighty-seven million, five hundred seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 367 555 925 1101 1369 1665 1835 2775 3303 4107 5505 6845 8325 9175 12321 13579 16515 20535 27525 34225 40737 61605 67895 82575 102675 122211 134689 203685 308025 339475 404067 502423 611055 673445 1018425 1212201 1507269 2020335 2512115 3055275 3367225 4521807 4983493 6061005 7536345 10101675 12560575 14950479 22609035 24917465 30305025 37681725 44851437 74752395 113045175 124587325 184389241 224257185 373761975 553167723 921946205 1121285925 1659503169 2765838615 4609731025 8297515845 13829193075 41487579225