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85215096 = 233253137163
BaseRepresentation
bin1010001010001…
…00011101111000
312221100101010200
411011010131320
5133303340341
612242242200
72053213341
oct505043570
9187311120
1085215096
11441133aa
1224656360
1314868045
14b4630c8
157733db6
hex5144778

85215096 has 96 divisors (see below), whose sum is σ = 238314960. Its totient is φ = 27495936.

The previous prime is 85215077. The next prime is 85215103. The reversal of 85215096 is 69051258.

It is a happy number.

It is a super-2 number, since 2×852150962 = 14523225172578432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 85215096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522711 + ... + 522873.

Almost surely, 285215096 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 85215096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119157480).

85215096 is an abundant number, since it is smaller than the sum of its proper divisors (153099864).

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

85215096 is a wasteful number, since it uses less digits than its factorization.

85215096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85215096 is about 9231.2023052255. The cubic root of 85215096 is about 440.0535334314.

The spelling of 85215096 in words is "eighty-five million, two hundred fifteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 137 159 163 212 274 318 326 411 424 477 489 548 636 652 822 954 978 1096 1233 1272 1304 1467 1644 1908 1956 2466 2934 3288 3816 3912 4932 5868 7261 8639 9864 11736 14522 17278 21783 22331 25917 29044 34556 43566 44662 51834 58088 65349 66993 69112 77751 87132 89324 103668 130698 133986 155502 174264 178648 200979 207336 261396 267972 311004 401958 522792 535944 622008 803916 1183543 1607832 2367086 3550629 4734172 7101258 9468344 10651887 14202516 21303774 28405032 42607548 85215096