Search a number
-
+
85264440 = 23355912043
BaseRepresentation
bin1010001010100…
…00100000111000
312221102212211020
411011100200320
5133311430230
612243302440
72053510242
oct505204070
9187385736
1085264440
1144147488
122467aa20
1314884641
14b477092
157743810
hex5150838

85264440 has 64 divisors (see below), whose sum is σ = 260150400. Its totient is φ = 22349952.

The previous prime is 85264433. The next prime is 85264453. The reversal of 85264440 is 4446258.

It is a congruent number.

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, 1059 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (4064850).

Almost surely, 285264440 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 85264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130075200).

85264440 is an abundant number, since it is smaller than the sum of its proper divisors (174885960).

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

85264440 is a wasteful number, since it uses less digits than its factorization.

85264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12116 (or 12112 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 85264440 is about 9233.8745930406. The cubic root of 85264440 is about 440.1384550503.

The spelling of 85264440 in words is "eighty-five million, two hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 12043 24086 36129 48172 60215 72258 96344 120430 144516 180645 240860 289032 361290 481720 710537 722580 1421074 1445160 2131611 2842148 3552685 4263222 5684296 7105370 8526444 10658055 14210740 17052888 21316110 28421480 42632220 85264440