Search a number
-
+
85243488 = 2531189907
BaseRepresentation
bin1010001010010…
…11011001100000
312221101211002020
411011023121200
5133310242423
612243021440
72053362201
oct505133140
9187354066
1085243488
1144132770
122466a880
1314877c45
14b46d5a8
15773c4e3
hex514b660

85243488 has 96 divisors (see below), whose sum is σ = 247121280. Its totient is φ = 25512960.

The previous prime is 85243463. The next prime is 85243489. The reversal of 85243488 is 88434258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×852434882 = 14532904492812288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85243489) 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, 93531 + ... + 94437.

It is an arithmetic number, because the mean of its divisors is an integer number (2574180).

Almost surely, 285243488 is an apocalyptic number.

85243488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85243488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123560640).

85243488 is an abundant number, since it is smaller than the sum of its proper divisors (161877792).

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

85243488 is a wasteful number, since it uses less digits than its factorization.

85243488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 85243488 is about 9232.7400050039. The cubic root of 85243488 is about 440.1024004091.

The spelling of 85243488 in words is "eighty-five million, two hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 132 176 178 264 267 352 356 528 534 712 907 979 1056 1068 1424 1814 1958 2136 2721 2848 2937 3628 3916 4272 5442 5874 7256 7832 8544 9977 10884 11748 14512 15664 19954 21768 23496 29024 29931 31328 39908 43536 46992 59862 79816 80723 87072 93984 119724 159632 161446 239448 242169 319264 322892 478896 484338 645784 887953 957792 968676 1291568 1775906 1937352 2583136 2663859 3551812 3874704 5327718 7103624 7749408 10655436 14207248 21310872 28414496 42621744 85243488