Search a number
-
+
43086080 = 28541821
BaseRepresentation
bin1010010001011…
…1000100000000
310000001222222202
42210113010000
542012223310
64135252332
71032140252
oct244270400
9100058882
1043086080
1122359234
121251a0a8
138c0742b
145a17cd2
153bb13a5
hex2917100

43086080 has 72 divisors (see below), whose sum is σ = 105850584. Its totient is φ = 16793600.

The previous prime is 43086077. The next prime is 43086101. The reversal of 43086080 is 8068034.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 42823936 = 512^2 + 6544^2 .

It is a congruent number.

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, 52070 + ... + 52890.

It is an arithmetic number, because the mean of its divisors is an integer number (1470147).

Almost surely, 243086080 is an apocalyptic number.

43086080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52925292).

43086080 is an abundant number, since it is smaller than the sum of its proper divisors (62764504).

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

43086080 is an equidigital number, since it uses as much as digits as its factorization.

43086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 43086080 is about 6563.9987812308. The cubic root of 43086080 is about 350.5734273512.

The spelling of 43086080 in words is "forty-three million, eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 821 1280 1312 1640 1642 2624 3280 3284 4105 5248 6560 6568 8210 10496 13120 13136 16420 26240 26272 32840 33661 52480 52544 65680 67322 105088 131360 134644 168305 210176 262720 269288 336610 525440 538576 673220 1050880 1077152 1346440 2154304 2692880 4308608 5385760 8617216 10771520 21543040 43086080