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440416820 = 22522020841
BaseRepresentation
bin11010010000000…
…011101000110100
31010200201111022002
4122100003220310
51400221314240
6111411354432
713625324024
oct3220035064
91120644262
10440416820
11206670748
121035b2a18
1370322a8c
14426c5a84
15289e8d15
hex1a403a34

440416820 has 12 divisors (see below), whose sum is σ = 924875364. Its totient is φ = 176166720.

The previous prime is 440416817. The next prime is 440416829. The reversal of 440416820 is 28614044.

It can be written as a sum of positive squares in 2 ways, for example, as 159921316 + 280495504 = 12646^2 + 16748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440416829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11010401 + ... + 11010440.

It is an arithmetic number, because the mean of its divisors is an integer number (77072947).

Almost surely, 2440416820 is an apocalyptic number.

It is an amenable number.

440416820 is an abundant number, since it is smaller than the sum of its proper divisors (484458544).

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

440416820 is a wasteful number, since it uses less digits than its factorization.

440416820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22020850 (or 22020848 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 440416820 is about 20986.1101683947. The cubic root of 440416820 is about 760.8305900859.

The spelling of 440416820 in words is "four hundred forty million, four hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 22020841 44041682 88083364 110104205 220208410 440416820