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628092 = 223273239
BaseRepresentation
bin10011001010101111100
31011220120200
42121111330
5130044332
621243500
75224113
oct2312574
91156520
10628092
11399993
12263590
1318cb6a
14124c7a
15c617c
hex9957c

628092 has 36 divisors (see below), whose sum is σ = 1616160. Its totient is φ = 205632.

The previous prime is 628063. The next prime is 628093. The reversal of 628092 is 290826.

628092 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628092.

It is not an unprimeable number, because it can be changed into a prime (628093) by changing a digit.

628092 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2509 + ... + 2747.

2628092 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 628092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808080).

628092 is an abundant number, since it is smaller than the sum of its proper divisors (988068).

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

628092 is a wasteful number, since it uses less digits than its factorization.

628092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 628092 is about 792.5225548841. The cubic root of 628092 is about 85.6395586803.

The spelling of 628092 in words is "six hundred twenty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 239 292 438 478 657 717 876 956 1314 1434 2151 2628 2868 4302 8604 17447 34894 52341 69788 104682 157023 209364 314046 628092