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85783236 = 223711263353
BaseRepresentation
bin1010001110011…
…11001011000100
312222102020110220
411013033023010
5133430030421
612302344340
72061100620
oct507171304
9188366426
1085783236
1144471240
122488b0b0
1314a06816
14b570180
1577e73c6
hex51cf2c4

85783236 has 96 divisors (see below), whose sum is σ = 251209728. Its totient is φ = 22133760.

The previous prime is 85783213. The next prime is 85783277. The reversal of 85783236 is 63238758.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 242836 + ... + 243188.

It is an arithmetic number, because the mean of its divisors is an integer number (2616768).

Almost surely, 285783236 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 85783236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125604864).

85783236 is an abundant number, since it is smaller than the sum of its proper divisors (165426492).

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

85783236 is a wasteful number, since it uses less digits than its factorization.

85783236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 85783236 is about 9261.9239901869. The cubic root of 85783236 is about 441.0293325341.

The spelling of 85783236 in words is "eighty-five million, seven hundred eighty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 263 308 353 462 526 706 789 924 1052 1059 1412 1578 1841 2118 2471 2893 3156 3682 3883 4236 4942 5523 5786 7364 7413 7766 8679 9884 11046 11572 11649 14826 15532 17358 20251 22092 23298 27181 29652 34716 40502 46596 54362 60753 81004 81543 92839 108724 121506 163086 185678 243012 278517 326172 371356 557034 649873 1021229 1114068 1299746 1949619 2042458 2599492 3063687 3899238 4084916 6127374 7148603 7798476 12254748 14297206 21445809 28594412 42891618 85783236