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40805000 = 23548161
BaseRepresentation
bin1001101110101…
…0001010001000
32211210002221022
42123222022020
540421230000
64014332012
71003560005
oct233521210
984702838
1040805000
1121040445
12117ba008
1385b9092
1455c28ac
1538b0585
hex26ea288

40805000 has 40 divisors (see below), whose sum is σ = 95617830. Its totient is φ = 16320000.

The previous prime is 40804997. The next prime is 40805033. The reversal of 40805000 is 50804.

It can be written as a sum of positive squares in 5 ways, for example, as 75076 + 40729924 = 274^2 + 6382^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 40805000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 920 + ... + 9080.

Almost surely, 240805000 is an apocalyptic number.

40805000 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 40805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47808915).

40805000 is an abundant number, since it is smaller than the sum of its proper divisors (54812830).

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

40805000 is an equidigital number, since it uses as much as digits as its factorization.

40805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 40805000 is about 6387.8791472601. The cubic root of 40805000 is about 344.2741864844.

Adding to 40805000 its reverse (50804), we get a palindrome (40855804).

The spelling of 40805000 in words is "forty million, eight hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8161 16322 32644 40805 65288 81610 163220 204025 326440 408050 816100 1020125 1632200 2040250 4080500 5100625 8161000 10201250 20402500 40805000