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440280828 = 223213272367
BaseRepresentation
bin11010001111100…
…010011011111100
31010200110120202100
4122033202123330
51400202441303
6111404425100
713624216401
oct3217423374
91120416670
10440280828
11206588559
12103548190
13702a5c00
144268c2a8
15289bd8a3
hex1a3e26fc

440280828 has 54 divisors (see below), whose sum is σ = 1205144304. Its totient is φ = 135469152.

The previous prime is 440280823. The next prime is 440280839. The reversal of 440280828 is 828082044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 440280792 and 440280801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440280821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30100 + ... + 42267.

Almost surely, 2440280828 is an apocalyptic number.

It is an amenable number.

440280828 is an abundant number, since it is smaller than the sum of its proper divisors (764863476).

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

440280828 is a wasteful number, since it uses less digits than its factorization.

440280828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72403 (or 72385 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 440280828 is about 20982.8698704443. The cubic root of 440280828 is about 760.7522722135.

The spelling of 440280828 in words is "four hundred forty million, two hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 72367 144734 217101 289468 434202 651303 868404 940771 1302606 1881542 2605212 2822313 3763084 5644626 8466939 11289252 12230023 16933878 24460046 33867756 36690069 48920092 73380138 110070207 146760276 220140414 440280828