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1441728 = 26322503
BaseRepresentation
bin101011111111111000000
32201020200100
411133333000
5332113403
650522400
715153201
oct5377700
92636610
101441728
118a5212
12596400
133b62c2
142975a8
151d72a3
hex15ffc0

1441728 has 42 divisors (see below), whose sum is σ = 4134104. Its totient is φ = 480384.

The previous prime is 1441723. The next prime is 1441729. The reversal of 1441728 is 8271441.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441721) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 676 + ... + 1827.

21441728 is an apocalyptic number.

1441728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1441728 is an abundant number, since it is smaller than the sum of its proper divisors (2692376).

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

1441728 is a wasteful number, since it uses less digits than its factorization.

1441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2508 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 1441728 is about 1200.7197841295. The cubic root of 1441728 is about 112.9694751393.

It can be divided in two parts, 144 and 1728, that multiplied together give a 5-th power (248832 = 125).

The spelling of 1441728 in words is "one million, four hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2503 5006 7509 10012 15018 20024 22527 30036 40048 45054 60072 80096 90108 120144 160192 180216 240288 360432 480576 720864 1441728