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85243272 = 233191311427
BaseRepresentation
bin1010001010010…
…11010110001000
312221101210210020
411011023112020
5133310241042
612243020440
72053361442
oct505132610
9187353706
1085243272
1144132594
122466a720
1314877b0a
14b46d492
15773c3ec
hex514b588

85243272 has 64 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 26694720.

The previous prime is 85243271. The next prime is 85243303. The reversal of 85243272 is 27234258.

It is not an unprimeable number, because it can be changed into a prime (85243271) 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, 59023 + ... + 60449.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 285243272 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 85243272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

85243272 is an abundant number, since it is smaller than the sum of its proper divisors (140951928).

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

85243272 is a wasteful number, since it uses less digits than its factorization.

85243272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 85243272 is about 9232.7283074939. The cubic root of 85243272 is about 440.1020286810.

The spelling of 85243272 in words is "eighty-five million, two hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 131 152 228 262 393 456 524 786 1048 1427 1572 2489 2854 3144 4281 4978 5708 7467 8562 9956 11416 14934 17124 19912 27113 29868 34248 54226 59736 81339 108452 162678 186937 216904 325356 373874 560811 650712 747748 1121622 1495496 2243244 3551803 4486488 7103606 10655409 14207212 21310818 28414424 42621636 85243272