Search a number
-
+
85544748 = 22351731167
BaseRepresentation
bin1010001100101…
…00111100101100
312221222010100000
411012110330230
5133344412443
612253304300
72056055412
oct506247454
9187863300
1085544748
1144319043
1224795090
13149520c3
14b50b2b2
15779b8d3
hex5194f2c

85544748 has 144 divisors (see below), whose sum is σ = 246564864. Its totient is φ = 25816320.

The previous prime is 85544743. The next prime is 85544761. The reversal of 85544748 is 84744558.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85544743) 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 47 ways as a sum of consecutive naturals, for example, 512161 + ... + 512327.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 285544748 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 85544748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123282432).

85544748 is an abundant number, since it is smaller than the sum of its proper divisors (161020116).

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

85544748 is a wasteful number, since it uses less digits than its factorization.

85544748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 85544748 is about 9249.0403826559. The cubic root of 85544748 is about 440.6202478437.

The spelling of 85544748 in words is "eighty-five million, five hundred forty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 167 186 204 243 279 306 324 334 372 459 486 501 527 558 612 668 837 918 972 1002 1054 1116 1377 1503 1581 1674 1836 2004 2108 2511 2754 2839 3006 3162 3348 4131 4509 4743 5022 5177 5508 5678 6012 6324 7533 8262 8517 9018 9486 10044 10354 11356 13527 14229 15066 15531 16524 17034 18036 18972 20708 25551 27054 28458 30132 31062 34068 40581 42687 46593 51102 54108 56916 62124 76653 81162 85374 88009 93186 102204 128061 139779 153306 162324 170748 176018 186372 229959 256122 264027 279558 306612 352036 419337 459918 512244 528054 559116 689877 792081 838674 919836 1056108 1258011 1379754 1584162 1677348 2376243 2516022 2759508 3168324 4752486 5032044 7128729 9504972 14257458 21386187 28514916 42772374 85544748