Search a number
-
+
85863204 = 223271979227
BaseRepresentation
bin1010001111000…
…10101100100100
312222120022011200
411013202230210
5133440110304
612304202500
72061553020
oct507425444
9188508150
1085863204
1144516329
1224909430
1314a3403b
14b591380
157810e39
hex51e2b24

85863204 has 144 divisors (see below), whose sum is σ = 265574400. Its totient is φ = 22845888.

The previous prime is 85863181. The next prime is 85863227. The reversal of 85863204 is 40236858.

85863204 = T281 + T282 + ... + T812.

It is an interprime number because it is at equal distance from previous prime (85863181) and next prime (85863227).

It is a super-2 number, since 2×858632042 = 14744979602291232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378139 + ... + 378365.

Almost surely, 285863204 is an apocalyptic number.

85863204 is a gapful number since it is divisible by the number (84) 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 85863204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132787200).

85863204 is an abundant number, since it is smaller than the sum of its proper divisors (179711196).

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

85863204 is a wasteful number, since it uses less digits than its factorization.

85863204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85863204 is about 9266.2400141589. The cubic root of 85863204 is about 441.1663339726.

The spelling of 85863204 in words is "eighty-five million, eight hundred sixty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 79 84 114 126 133 158 171 227 228 237 252 266 316 342 399 454 474 532 553 681 684 711 798 908 948 1106 1197 1362 1422 1501 1589 1596 1659 2043 2212 2394 2724 2844 3002 3178 3318 4086 4313 4503 4767 4788 4977 6004 6356 6636 8172 8626 9006 9534 9954 10507 12939 13509 14301 17252 17933 18012 19068 19908 21014 25878 27018 28602 30191 31521 35866 38817 42028 51756 53799 54036 57204 60382 63042 71732 77634 90573 94563 107598 120764 125531 126084 155268 161397 181146 189126 215196 251062 271719 322794 340727 362292 376593 378252 502124 543438 645588 681454 753186 1022181 1086876 1129779 1362908 1506372 2044362 2259558 2385089 3066543 4088724 4519116 4770178 6133086 7155267 9540356 12266172 14310534 21465801 28621068 42931602 85863204