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1628224 = 261319103
BaseRepresentation
bin110001101100001000000
310001201111121
412031201000
5404100344
654522024
716561003
oct6154100
93051447
101628224
11a12344
12666314
13450160
1430553a
15222684
hex18d840

1628224 has 56 divisors (see below), whose sum is σ = 3698240. Its totient is φ = 705024.

The previous prime is 1628203. The next prime is 1628227. The reversal of 1628224 is 4228261.

It is a happy number.

It is a super-2 number, since 2×16282242 = 5302226788352, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1628227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15757 + ... + 15859.

It is an arithmetic number, because the mean of its divisors is an integer number (66040).

21628224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849120).

1628224 is an abundant number, since it is smaller than the sum of its proper divisors (2070016).

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

1628224 is a wasteful number, since it uses less digits than its factorization.

1628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 1628224 is about 1276.0188086388. The cubic root of 1628224 is about 117.6444338238.

It can be divided in two parts, 16 and 28224, that multiplied together give a square (451584 = 6722).

The spelling of 1628224 in words is "one million, six hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 103 104 152 206 208 247 304 412 416 494 608 824 832 988 1216 1339 1648 1957 1976 2678 3296 3914 3952 5356 6592 7828 7904 10712 15656 15808 21424 25441 31312 42848 50882 62624 85696 101764 125248 203528 407056 814112 1628224