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525536385 = 3511172103107
BaseRepresentation
bin11111010100110…
…000110010000001
31100121220000101120
4133110300302001
52034014131020
6124052022453
716010662023
oct3724606201
91317800346
10525536385
1124a7192a0
12128001a29
1384b5649a
144db22013
153120e740
hex1f530c81

525536385 has 96 divisors (see below), whose sum is σ = 993088512. Its totient is φ = 235269120.

The previous prime is 525536381. The next prime is 525536387. The reversal of 525536385 is 583635525.

It is not a de Polignac number, because 525536385 - 22 = 525536381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (525536381) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4911502 + ... + 4911608.

It is an arithmetic number, because the mean of its divisors is an integer number (10344672).

Almost surely, 2525536385 is an apocalyptic number.

525536385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525536385 is a deficient number, since it is larger than the sum of its proper divisors (467552127).

525536385 is a wasteful number, since it uses less digits than its factorization.

525536385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its digits is 540000, while the sum is 42.

The square root of 525536385 is about 22924.5803669337. The cubic root of 525536385 is about 806.9889656671.

The spelling of 525536385 in words is "five hundred twenty-five million, five hundred thirty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 103 107 165 187 255 289 309 321 515 535 561 867 935 1133 1177 1445 1545 1605 1751 1819 2805 3179 3399 3531 4335 5253 5457 5665 5885 8755 9095 9537 11021 15895 16995 17655 19261 20009 26265 27285 29767 30923 33063 47685 55105 57783 60027 89301 92769 96305 100045 121231 148835 154615 165315 187357 288915 300135 327437 340153 363693 446505 463845 562071 606155 936785 982311 1020459 1637185 1700765 1818465 2060927 2810355 3185069 4911555 5102295 6182781 9555207 10304635 15925345 30913905 35035759 47776035 105107277 175178795 525536385