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95989905 = 32511217261
BaseRepresentation
bin1011011100010…
…11000010010001
320200121210101200
411232023002101
5144033134110
613305221413
72243620644
oct556130221
9220553350
1095989905
114a202700
1228191869
1316b6b47b
14ca69a5b
1586616c0
hex5b8b091

95989905 has 108 divisors (see below), whose sum is σ = 197458716. Its totient is φ = 43084800.

The previous prime is 95989903. The next prime is 95989931. The reversal of 95989905 is 50998959.

It can be written as a sum of positive squares in 6 ways, for example, as 576081 + 95413824 = 759^2 + 9768^2 .

It is not a de Polignac number, because 95989905 - 21 = 95989903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95989903) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1573575 + ... + 1573635.

Almost surely, 295989905 is an apocalyptic number.

It is an amenable number.

95989905 is an abundant number, since it is smaller than the sum of its proper divisors (101468811).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95989905 is a wasteful number, since it uses less digits than its factorization.

95989905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 54.

The square root of 95989905 is about 9797.4437992774. The cubic root of 95989905 is about 457.8696466111.

It can be divided in two parts, 9598 and 9905, that added together give a triangular number (19503 = T197).

The spelling of 95989905 in words is "ninety-five million, nine hundred eighty-nine thousand, nine hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 61 85 99 121 153 165 183 187 255 289 305 363 495 549 561 605 671 765 867 915 935 1037 1089 1445 1683 1815 2013 2057 2601 2745 2805 3111 3179 3355 4335 5185 5445 6039 6171 7381 8415 9333 9537 10065 10285 11407 13005 15555 15895 17629 18513 22143 28611 30195 30855 34221 34969 36905 46665 47685 52887 57035 66429 88145 92565 102663 104907 110715 125477 143055 158661 171105 174845 193919 264435 314721 332145 376431 513315 524535 581757 627385 793305 969595 1129293 1573605 1745271 1882155 2133109 2908785 5646465 6399327 8726355 10665545 19197981 31996635 95989905