Search a number
-
+
628002284 = 227137921839
BaseRepresentation
bin100101011011101…
…000110111101100
31121202200211011212
4211123220313230
52241232033114
6142152133552
721363634310
oct4533506754
91552624155
10628002284
112a2544458
121563972b8
13a01514b0
145d595b40
153a1eeb3e
hex256e8dec

628002284 has 48 divisors (see below), whose sum is σ = 1369804800. Its totient is φ = 245284416.

The previous prime is 628002191. The next prime is 628002299. The reversal of 628002284 is 482200826.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 628002284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17837 + ... + 39675.

It is an arithmetic number, because the mean of its divisors is an integer number (28537600).

Almost surely, 2628002284 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 628002284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684902400).

628002284 is an abundant number, since it is smaller than the sum of its proper divisors (741802516).

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

628002284 is a wasteful number, since it uses less digits than its factorization.

628002284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21942 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 628002284 is about 25059.9737430030. The cubic root of 628002284 is about 856.3548093132.

The spelling of 628002284 in words is "six hundred twenty-eight million, two thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 79 91 158 182 316 364 553 1027 1106 2054 2212 4108 7189 14378 21839 28756 43678 87356 152873 283907 305746 567814 611492 1135628 1725281 1987349 3450562 3974698 6901124 7949396 12076967 22428653 24153934 44857306 48307868 89714612 157000571 314001142 628002284