Search a number
-
+
86427276 = 223132192243
BaseRepresentation
bin1010010011011…
…00011010001100
320000121221221020
411021230122030
5134111133101
612324234140
72066422365
oct511543214
9200557836
1086427276
1144871101
1224b3b950
1314ba0a00
14b69ab6c
1578c3136
hex526c68c

86427276 has 72 divisors (see below), whose sum is σ = 229965120. Its totient is φ = 25182144.

The previous prime is 86427251. The next prime is 86427311. The reversal of 86427276 is 67272468.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37411 + ... + 39653.

It is an arithmetic number, because the mean of its divisors is an integer number (3193960).

Almost surely, 286427276 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 86427276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114982560).

86427276 is an abundant number, since it is smaller than the sum of its proper divisors (143537844).

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

86427276 is a wasteful number, since it uses less digits than its factorization.

86427276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2280 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 86427276 is about 9296.6271303091. The cubic root of 86427276 is about 442.1302960733.

The spelling of 86427276 in words is "eighty-six million, four hundred twenty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 676 741 988 1014 1482 2028 2243 2964 3211 4486 6422 6729 8972 9633 12844 13458 19266 26916 29159 38532 42617 58318 85234 87477 116636 127851 170468 174954 255702 349908 379067 511404 554021 758134 1108042 1137201 1516268 1662063 2216084 2274402 3324126 4548804 6648252 7202273 14404546 21606819 28809092 43213638 86427276