Search a number
-
+
85350440 = 2357319833
BaseRepresentation
bin1010001011001…
…01100000101000
312221121020210102
411011211200220
5133322203230
612245204532
72054316050
oct505454050
9187536712
1085350440
11441a605a
1224700748
13148b4826
14b49a560
15775e045
hex5165828

85350440 has 64 divisors (see below), whose sum is σ = 226575360. Its totient is φ = 28316160.

The previous prime is 85350439. The next prime is 85350467. The reversal of 85350440 is 4405358.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3764 + ... + 13596.

It is an arithmetic number, because the mean of its divisors is an integer number (3540240).

Almost surely, 285350440 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 85350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113287680).

85350440 is an abundant number, since it is smaller than the sum of its proper divisors (141224920).

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

85350440 is a wasteful number, since it uses less digits than its factorization.

85350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9882 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 85350440 is about 9238.5301861281. The cubic root of 85350440 is about 440.2863838082.

Adding to 85350440 its reverse (4405358), we get a palindrome (89755798).

The spelling of 85350440 in words is "eighty-five million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 9833 19666 39332 49165 68831 78664 98330 137662 196660 275324 304823 344155 393320 550648 609646 688310 1219292 1376620 1524115 2133761 2438584 2753240 3048230 4267522 6096460 8535044 10668805 12192920 17070088 21337610 42675220 85350440