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1427706225 = 32521122292
BaseRepresentation
bin101010100011001…
…0001000101110001
310200111110222202100
41111012101011301
510410443044400
6353400411013
750244205551
oct12506210561
93614428670
101427706225
116729a2900
1233a176a69
13199a2c6aa
14d7885161
1585519100
hex55191171

1427706225 has 81 divisors (see below), whose sum is σ = 2823112929. Its totient is φ = 689198400.

The previous prime is 1427706179. The next prime is 1427706277. The reversal of 1427706225 is 5226077241.

It is a happy number.

The square root of 1427706225 is 37785.

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

1427706225 is a `hidden beast` number, since 1 + 4 + 27 + 7 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 194853681 + 1232852544 = 13959^2 + 35112^2 .

It is not a de Polignac number, because 1427706225 - 211 = 1427704177 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1427706225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6234411 + ... + 6234639.

Almost surely, 21427706225 is an apocalyptic number.

1427706225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1427706225 is the 37785-th square number.

1427706225 is the 18893-rd centered octagonal number.

It is an amenable number.

1427706225 is a deficient number, since it is larger than the sum of its proper divisors (1395406704).

1427706225 is a wasteful number, since it uses less digits than its factorization.

1427706225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The cubic root of 1427706225 is about 1126.0204666663.

Multiplying 1427706225 by its sum of digits (36), we get a square (51397424100 = 2267102).

The spelling of 1427706225 in words is "one billion, four hundred twenty-seven million, seven hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 229 275 363 495 605 687 825 1089 1145 1815 2061 2475 2519 3025 3435 5445 5725 7557 9075 10305 12595 17175 22671 27225 27709 37785 51525 52441 62975 83127 113355 138545 157323 188925 249381 262205 415635 471969 566775 576851 692725 786615 1246905 1311025 1730553 2078175 2359845 2884255 3933075 5191659 6234525 6345361 8652765 11799225 14421275 19036083 25958295 31726805 43263825 57108249 95180415 129791475 158634025 285541245 475902075 1427706225