Search a number
-
+
86944956 = 223731173193
BaseRepresentation
bin1010010111010…
…10110010111100
320001121021001120
411023222302330
5134224214311
612343310540
72104006560
oct513526274
9201537046
1086944956
114509503a
122514b450
1315022527
14b7936a0
157976706
hex52eacbc

86944956 has 96 divisors (see below), whose sum is σ = 241963008. Its totient is φ = 23777280.

The previous prime is 86944943. The next prime is 86944961. The reversal of 86944956 is 65944968.

It is a junction number, because it is equal to n+sod(n) for n = 86944899 and 86944908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450396 + ... + 450588.

It is an arithmetic number, because the mean of its divisors is an integer number (2520448).

Almost surely, 286944956 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 86944956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120981504).

86944956 is an abundant number, since it is smaller than the sum of its proper divisors (155018052).

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

86944956 is a wasteful number, since it uses less digits than its factorization.

86944956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 86944956 is about 9324.4279181084. The cubic root of 86944956 is about 443.0112931879.

The spelling of 86944956 in words is "eighty-six million, nine hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 173 186 193 217 346 372 386 434 519 579 651 692 772 868 1038 1158 1211 1302 1351 2076 2316 2422 2604 2702 3633 4053 4844 5363 5404 5983 7266 8106 10726 11966 14532 16089 16212 17949 21452 23932 32178 33389 35898 37541 41881 64356 66778 71796 75082 83762 100167 112623 125643 133556 150164 167524 200334 225246 233723 251286 400668 450492 467446 502572 701169 934892 1035059 1402338 2070118 2804676 3105177 4140236 6210354 7245413 12420708 14490826 21736239 28981652 43472478 86944956