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335781125 = 535694721
BaseRepresentation
bin10100000000111…
…001110100000101
3212101211110002222
4110000321310011
51141424444000
653152542125
711215043501
oct2400716405
9771743088
10335781125
111625a3369
1294551945
1354748274
1432849301
151e72aa85
hex14039d05

335781125 has 16 divisors (see below), whose sum is σ = 419880240. Its totient is φ = 268096000.

The previous prime is 335781107. The next prime is 335781137. The reversal of 335781125 is 521187533.

It can be written as a sum of positive squares in 8 ways, for example, as 162358564 + 173422561 = 12742^2 + 13169^2 .

It is not a de Polignac number, because 335781125 - 220 = 334732549 is a prime.

It is a super-3 number, since 3×3357811253 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 68765 + ... + 73485.

It is an arithmetic number, because the mean of its divisors is an integer number (26242515).

Almost surely, 2335781125 is an apocalyptic number.

It is an amenable number.

335781125 is a deficient number, since it is larger than the sum of its proper divisors (84099115).

335781125 is an equidigital number, since it uses as much as digits as its factorization.

335781125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5295 counting only the distinct ones).

The product of its digits is 25200, while the sum is 35.

The square root of 335781125 is about 18324.3315021313. The cubic root of 335781125 is about 695.0543407643.

The spelling of 335781125 in words is "three hundred thirty-five million, seven hundred eighty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 569 2845 4721 14225 23605 71125 118025 590125 2686249 13431245 67156225 335781125