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1442816 = 2101409
BaseRepresentation
bin101100000010000000000
32201022011122
411200100000
5332132231
650531412
715156314
oct5402000
92638148
101442816
118a6011
12596b68
133b694b
14297b44
151d777b
hex160400

1442816 has 22 divisors (see below), whose sum is σ = 2886270. Its totient is φ = 720896.

The previous prime is 1442797. The next prime is 1442827. The reversal of 1442816 is 6182441.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 640000 = 896^2 + 800^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 320 + ... + 1728.

21442816 is an apocalyptic number.

1442816 is a gapful number since it is divisible by the number (16) 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 1442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443135).

1442816 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1442816 is an equidigital number, since it uses as much as digits as its factorization.

1442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1411 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 1442816 is about 1201.1727602639. The cubic root of 1442816 is about 112.9978854644.

It can be divided in two parts, 144 and 2816, that multiplied together give a palindrome (405504).

The spelling of 1442816 in words is "one million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1409 2818 5636 11272 22544 45088 90176 180352 360704 721408 1442816