Search a number
-
+
86929472 = 267296691
BaseRepresentation
bin1010010111001…
…11000001000000
320001120110211002
411023213001000
5134223220342
612343111132
72103613460
oct513470100
9201513732
1086929472
1145084443
12251424a8
1315018476
14b78bba0
157971d32
hex52e7040

86929472 has 56 divisors (see below), whose sum is σ = 203972160. Its totient is φ = 35965440.

The previous prime is 86929459. The next prime is 86929481. The reversal of 86929472 is 27492968.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9647 + ... + 16337.

It is an arithmetic number, because the mean of its divisors is an integer number (3642360).

Almost surely, 286929472 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 86929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101986080).

86929472 is an abundant number, since it is smaller than the sum of its proper divisors (117042688).

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

86929472 is a wasteful number, since it uses less digits than its factorization.

86929472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6729 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 86929472 is about 9323.5975889138. The cubic root of 86929472 is about 442.9849930457.

The spelling of 86929472 in words is "eighty-six million, nine hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 6691 12992 13382 26764 46837 53528 93674 107056 187348 194039 214112 374696 388078 428224 749392 776156 1358273 1498784 1552312 2716546 2997568 3104624 5433092 6209248 10866184 12418496 21732368 43464736 86929472