Search a number
-
+
86793156 = 223289103263
BaseRepresentation
bin1010010110001…
…01101111000100
320001022112211100
411023011233010
5134204340111
612340140100
72102505162
oct513055704
9201275740
1086793156
1144aa0a8a
1225097630
1314c9b3c8
14b754232
157946756
hex52c5bc4

86793156 has 72 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 28220544.

The previous prime is 86793151. The next prime is 86793163. The reversal of 86793156 is 65139768.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86793151) 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 23 ways as a sum of consecutive naturals, for example, 329881 + ... + 330143.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 286793156 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 86793156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

86793156 is an abundant number, since it is smaller than the sum of its proper divisors (138071484).

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

86793156 is a wasteful number, since it uses less digits than its factorization.

86793156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 86793156 is about 9316.2844525057. The cubic root of 86793156 is about 442.7533204318.

The spelling of 86793156 in words is "eighty-six million, seven hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 103 178 206 263 267 309 356 412 526 534 618 789 801 927 1052 1068 1236 1578 1602 1854 2367 3156 3204 3708 4734 9167 9468 18334 23407 27089 27501 36668 46814 54178 55002 70221 81267 82503 93628 108356 110004 140442 162534 165006 210663 243801 280884 325068 330012 421326 487602 842652 975204 2410921 4821842 7232763 9643684 14465526 21698289 28931052 43396578 86793156