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444828444 = 223233315889
BaseRepresentation
bin11010100000111…
…000101100011100
31011000000121220120
4122200320230130
51402334002234
6112050114540
714010656634
oct3240705434
91130017816
10444828444
11209104215
12104b7ba50
1371208ac8
14431136c4
15290bb049
hex1a838b1c

444828444 has 24 divisors (see below), whose sum is σ = 1038443280. Its totient is φ = 148203264.

The previous prime is 444828427. The next prime is 444828509.

444828444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4448284442 = 395744689182922272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444828396 and 444828405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20052 + ... + 35940.

It is an arithmetic number, because the mean of its divisors is an integer number (43268470).

Almost surely, 2444828444 is an apocalyptic number.

It is an amenable number.

444828444 is an abundant number, since it is smaller than the sum of its proper divisors (593614836).

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

444828444 is a wasteful number, since it uses less digits than its factorization.

444828444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229 (or 18227 counting only the distinct ones).

The product of its digits is 524288, while the sum is 42.

The square root of 444828444 is about 21090.9564505738. The cubic root of 444828444 is about 763.3625499815.

The spelling of 444828444 in words is "four hundred forty-four million, eight hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 2333 4666 6999 9332 13998 15889 27996 31778 47667 63556 95334 190668 37069037 74138074 111207111 148276148 222414222 444828444