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85112440 = 2357449677
BaseRepresentation
bin1010001001010…
…11011001111000
312221011011022121
411010223121320
5133242044230
612240131024
72052305140
oct504533170
9187134277
1085112440
1144053266
1224606a74
13148303ba
14b437920
15771377a
hex512b678

85112440 has 64 divisors (see below), whose sum is σ = 219672000. Its totient is φ = 29073408.

The previous prime is 85112431. The next prime is 85112473. The reversal of 85112440 is 4421158.

It is a congruent number.

It is an unprimeable number.

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, 125382 + ... + 126058.

It is an arithmetic number, because the mean of its divisors is an integer number (3432375).

Almost surely, 285112440 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 85112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109836000).

85112440 is an abundant number, since it is smaller than the sum of its proper divisors (134559560).

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

85112440 is a wasteful number, since it uses less digits than its factorization.

85112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 85112440 is about 9225.6403571785. The cubic root of 85112440 is about 439.8767561163.

Adding to 85112440 its reverse (4421158), we get a palindrome (89533598).

The spelling of 85112440 in words is "eighty-five million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 449 677 898 1354 1796 2245 2708 3143 3385 3592 4490 4739 5416 6286 6770 8980 9478 12572 13540 15715 17960 18956 23695 25144 27080 31430 37912 47390 62860 94780 125720 189560 303973 607946 1215892 1519865 2127811 2431784 3039730 4255622 6079460 8511244 10639055 12158920 17022488 21278110 42556220 85112440