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628122 = 231131307
BaseRepresentation
bin10011001010110011010
31011220121210
42121112122
5130044442
621243550
75224155
oct2312632
91156553
10628122
11399a10
122635b6
1318cb91
14124c9c
15c619c
hex9959a

628122 has 32 divisors (see below), whose sum is σ = 1419264. Its totient is φ = 183600.

The previous prime is 628097. The next prime is 628127. The reversal of 628122 is 221826.

628122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628122.

It is not an unprimeable number, because it can be changed into a prime (628127) by changing a digit.

628122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2628122 is an apocalyptic number.

628122 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 628122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709632).

628122 is an abundant number, since it is smaller than the sum of its proper divisors (791142).

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

628122 is a wasteful number, since it uses less digits than its factorization.

628122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its digits is 384, while the sum is 21.

The square root of 628122 is about 792.5414815642. The cubic root of 628122 is about 85.6409221461.

Adding to 628122 its reverse (221826), we get a palindrome (849948).

The spelling of 628122 in words is "six hundred twenty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 307 341 614 682 921 1023 1842 2046 3377 6754 9517 10131 19034 20262 28551 57102 104687 209374 314061 628122