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628056 = 2332111361
BaseRepresentation
bin10011001010101011000
31011220112100
42121111120
5130044211
621243400
75224032
oct2312530
91156470
10628056
11399960
12263560
1318cb40
14124c52
15c6156
hex99558

628056 has 96 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 172800.

The previous prime is 628051. The next prime is 628057. The reversal of 628056 is 650826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628051) by changing a digit.

628056 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 23 ways as a sum of consecutive naturals, for example, 10266 + ... + 10326.

2628056 is an apocalyptic number.

628056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a pronic number, being equal to 792×793.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

628056 is an abundant number, since it is smaller than the sum of its proper divisors (1403064).

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

628056 is a wasteful number, since it uses less digits than its factorization.

628056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 628056 is about 792.4998422713. The cubic root of 628056 is about 85.6379224640.

It can be divided in two parts, 6280 and 56, that added together give a palindrome (6336).

The spelling of 628056 in words is "six hundred twenty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 61 66 72 78 88 99 104 117 122 132 143 156 183 198 234 244 264 286 312 366 396 429 468 488 549 572 671 732 792 793 858 936 1098 1144 1287 1342 1464 1586 1716 2013 2196 2379 2574 2684 3172 3432 4026 4392 4758 5148 5368 6039 6344 7137 8052 8723 9516 10296 12078 14274 16104 17446 19032 24156 26169 28548 34892 48312 52338 57096 69784 78507 104676 157014 209352 314028 628056