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85855452 = 22319894231
BaseRepresentation
bin1010001111000…
…00110011011100
312222112220112120
411013200303130
5133434333302
612304102540
72061521304
oct507406334
9188486476
1085855452
1144510521
1224904a50
1314a30657
14b58c604
15780d9bc
hex51e0cdc

85855452 has 48 divisors (see below), whose sum is σ = 213292800. Its totient is φ = 26801280.

The previous prime is 85855447. The next prime is 85855459. The reversal of 85855452 is 25455858.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85855459) 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 15 ways as a sum of consecutive naturals, for example, 18177 + ... + 22407.

It is an arithmetic number, because the mean of its divisors is an integer number (4443600).

Almost surely, 285855452 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 85855452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106646400).

85855452 is an abundant number, since it is smaller than the sum of its proper divisors (127437348).

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

85855452 is a wasteful number, since it uses less digits than its factorization.

85855452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4344 counting only the distinct ones).

The product of its digits is 320000, while the sum is 42.

The square root of 85855452 is about 9265.8217120771. The cubic root of 85855452 is about 441.1530569452.

The spelling of 85855452 in words is "eighty-five million, eight hundred fifty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 534 1068 1691 3382 4231 5073 6764 8462 10146 12693 16924 20292 25386 50772 80389 160778 241167 321556 376559 482334 753118 964668 1129677 1506236 2259354 4518708 7154621 14309242 21463863 28618484 42927726 85855452