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628232 = 2311359
BaseRepresentation
bin10011001011000001000
31011220202212
42121120020
5130100412
621244252
75224403
oct2313010
91156685
10628232
1139a000
12263688
1318cc47
14124d3a
15c6222
hex99608

628232 has 32 divisors (see below), whose sum is σ = 1317600. Its totient is φ = 280720.

The previous prime is 628231. The next prime is 628261. The reversal of 628232 is 232826.

Its product of digits (1152) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 628198 and 628207.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628232.

It is not an unprimeable number, because it can be changed into a prime (628231) 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, 10619 + ... + 10677.

It is an arithmetic number, because the mean of its divisors is an integer number (41175).

2628232 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 628232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658800).

628232 is an abundant number, since it is smaller than the sum of its proper divisors (689368).

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

628232 is a wasteful number, since it uses less digits than its factorization.

628232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 628232 is about 792.6108755247. The cubic root of 628232 is about 85.6459211492.

The spelling of 628232 in words is "six hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 236 242 472 484 649 968 1298 1331 2596 2662 5192 5324 7139 10648 14278 28556 57112 78529 157058 314116 628232