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95809896 = 233272132089
BaseRepresentation
bin1011011010111…
…11000101101000
320200021122110200
411231133011220
5144011404041
613301312200
72242241100
oct555370550
9220248420
1095809896
114a09a436
1228105660
1316b07560
14ca20200
1586281b6
hex5b5f168

95809896 has 144 divisors (see below), whose sum is σ = 325224900. Its totient is φ = 25256448.

The previous prime is 95809877. The next prime is 95809919. The reversal of 95809896 is 69890859.

It can be written as a sum of positive squares in 2 ways, for example, as 95765796 + 44100 = 9786^2 + 210^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44820 + ... + 46908.

Almost surely, 295809896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95809896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162612450).

95809896 is an abundant number, since it is smaller than the sum of its proper divisors (229415004).

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

95809896 is a wasteful number, since it uses less digits than its factorization.

95809896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 95809896 is about 9788.2529595429. The cubic root of 95809896 is about 457.5832545790.

The spelling of 95809896 in words is "ninety-five million, eight hundred nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2089 2184 2548 3276 3528 3822 4178 5096 5733 6267 6552 7644 8356 11466 12534 14623 15288 16712 18801 22932 25068 27157 29246 37602 43869 45864 50136 54314 58492 75204 81471 87738 102361 108628 116984 131607 150408 162942 175476 190099 204722 217256 244413 263214 307083 325884 350952 380198 409444 488826 526428 570297 614166 651768 760396 818888 921249 977652 1052856 1140594 1228332 1330693 1520792 1710891 1842498 1955304 2281188 2456664 2661386 3421782 3684996 3992079 4562376 5322772 6843564 7369992 7984158 10645544 11976237 13687128 15968316 23952474 31936632 47904948 95809896