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85255320 = 23353591979
BaseRepresentation
bin1010001010011…
…10010010011000
312221102102022110
411011032102120
5133311132240
612243152320
72053441533
oct505162230
9187372273
1085255320
1144140647
12246756a0
1314880447
14b473a1a
157740c80
hex514e498

85255320 has 64 divisors (see below), whose sum is σ = 256608000. Its totient is φ = 22659968.

The previous prime is 85255297. The next prime is 85255327. The reversal of 85255320 is 2355258.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85255327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42091 + ... + 44069.

It is an arithmetic number, because the mean of its divisors is an integer number (4009500).

Almost surely, 285255320 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 85255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304000).

85255320 is an abundant number, since it is smaller than the sum of its proper divisors (171352680).

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

85255320 is a wasteful number, since it uses less digits than its factorization.

85255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 85255320 is about 9233.3807459673. The cubic root of 85255320 is about 440.1227618890.

The spelling of 85255320 in words is "eighty-five million, two hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 718 1077 1436 1795 1979 2154 2872 3590 3958 4308 5385 5937 7180 7916 8616 9895 10770 11874 14360 15832 19790 21540 23748 29685 39580 43080 47496 59370 79160 118740 237480 710461 1420922 2131383 2841844 3552305 4262766 5683688 7104610 8525532 10656915 14209220 17051064 21313830 28418440 42627660 85255320