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1428224 = 287797
BaseRepresentation
bin101011100101100000000
32200120011012
411130230000
5331200344
650340052
715065630
oct5345400
92616135
101428224
11896056
1258a628
133b0105
142926c0
151d329e
hex15cb00

1428224 has 36 divisors (see below), whose sum is σ = 3262224. Its totient is φ = 611328.

The previous prime is 1428209. The next prime is 1428233. The reversal of 1428224 is 4228241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1428224.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394 + ... + 2190.

21428224 is an apocalyptic number.

1428224 is a gapful number since it is divisible by the number (14) 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 1428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631112).

1428224 is an abundant number, since it is smaller than the sum of its proper divisors (1834000).

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

1428224 is an frugal number, since it uses more digits than its factorization.

1428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 806 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 1428224 is about 1195.0832606978. The cubic root of 1428224 is about 112.6156571880.

The spelling of 1428224 in words is "one million, four hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 797 896 1594 1792 3188 5579 6376 11158 12752 22316 25504 44632 51008 89264 102016 178528 204032 357056 714112 1428224