Search a number
-
+
992628 = 2233713101
BaseRepresentation
bin11110010010101110100
31212102122000
43302111310
5223231003
633135300
711302650
oct3622564
91772560
10992628
1161885a
123ba530
13289a70
141bba60
151491a3
hexf2574

992628 has 96 divisors (see below), whose sum is σ = 3198720. Its totient is φ = 259200.

The previous prime is 992623. The next prime is 992633. The reversal of 992628 is 826299.

It is an interprime number because it is at equal distance from previous prime (992623) and next prime (992633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 992592 and 992601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9778 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (33320).

2992628 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 992628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599360).

992628 is an abundant number, since it is smaller than the sum of its proper divisors (2206092).

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

992628 is a wasteful number, since it uses less digits than its factorization.

992628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 992628 is about 996.3071815459. The cubic root of 992628 is about 99.7536603326.

The spelling of 992628 in words is "nine hundred ninety-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 101 108 117 126 156 182 189 202 234 252 273 303 351 364 378 404 468 546 606 702 707 756 819 909 1092 1212 1313 1404 1414 1638 1818 2121 2457 2626 2727 2828 3276 3636 3939 4242 4914 5252 5454 6363 7878 8484 9191 9828 10908 11817 12726 15756 18382 19089 23634 25452 27573 35451 36764 38178 47268 55146 70902 76356 82719 110292 141804 165438 248157 330876 496314 992628