Search a number
-
+
85718088 = 2334179739
BaseRepresentation
bin1010001101111…
…11010001001000
312222021221010000
411012333101020
5133420434323
612301123000
72060406651
oct506772110
9188257100
1085718088
11444272a5
1224859460
13149b2c81
14b554528
1577d2e43
hex51bf448

85718088 has 80 divisors (see below), whose sum is σ = 241758000. Its totient is φ = 28374624.

The previous prime is 85718057. The next prime is 85718089. The reversal of 85718088 is 88081758.

It is a happy number.

It is a super-2 number, since 2×857180882 = 14695181220751488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85718089) 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 19 ways as a sum of consecutive naturals, for example, 115623 + ... + 116361.

It is an arithmetic number, because the mean of its divisors is an integer number (3021975).

Almost surely, 285718088 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 85718088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120879000).

85718088 is an abundant number, since it is smaller than the sum of its proper divisors (156039912).

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

85718088 is a wasteful number, since it uses less digits than its factorization.

85718088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 85718088 is about 9258.4063423464. The cubic root of 85718088 is about 440.9176578180.

The spelling of 85718088 in words is "eighty-five million, seven hundred eighteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 179 216 324 358 537 648 716 739 1074 1432 1478 1611 2148 2217 2956 3222 4296 4434 4833 5912 6444 6651 8868 9666 12888 13302 14499 17736 19332 19953 26604 28998 38664 39906 53208 57996 59859 79812 115992 119718 132281 159624 239436 264562 396843 478872 529124 793686 1058248 1190529 1587372 2381058 3174744 3571587 4762116 7143174 9524232 10714761 14286348 21429522 28572696 42859044 85718088