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85228542 = 23272711361
BaseRepresentation
bin1010001010001…
…11101111111110
312221101001120200
411011013233332
5133304303132
612242424330
72053300500
oct505075776
9187331520
1085228542
1144122513
12246620a6
13148711b9
14b467d70
157737d7c
hex5147bfe

85228542 has 72 divisors (see below), whose sum is σ = 217996272. Its totient is φ = 23990400.

The previous prime is 85228513. The next prime is 85228543. The reversal of 85228542 is 24582258.

It is a junction number, because it is equal to n+sod(n) for n = 85228497 and 85228506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85228543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61942 + ... + 63302.

It is an arithmetic number, because the mean of its divisors is an integer number (3027726).

Almost surely, 285228542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85228542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108998136).

85228542 is an abundant number, since it is smaller than the sum of its proper divisors (132767730).

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

85228542 is a wasteful number, since it uses less digits than its factorization.

85228542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1444 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 85228542 is about 9231.9305673299. The cubic root of 85228542 is about 440.0766774082.

The spelling of 85228542 in words is "eighty-five million, two hundred twenty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 426 441 497 639 882 994 1278 1361 1491 2722 2982 3479 4083 4473 6958 8166 8946 9527 10437 12249 19054 20874 24498 28581 31311 57162 62622 66689 85743 96631 133378 171486 193262 200067 289893 400134 579786 600201 676417 869679 1200402 1352834 1739358 2029251 4058502 4734919 6087753 9469838 12175506 14204757 28409514 42614271 85228542