Search a number
-
+
928242 = 232753139
BaseRepresentation
bin11100010100111110010
31202011022100
43202213302
5214200432
631521230
710614150
oct3424762
91664270
10928242
11584447
12389216
13266673
141a23d0
1513507c
hexe29f2

928242 has 48 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 258336.

The previous prime is 928231. The next prime is 928253. The reversal of 928242 is 242829.

It is an interprime number because it is at equal distance from previous prime (928231) and next prime (928253).

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 6609 + ... + 6747.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2928242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

928242 is an abundant number, since it is smaller than the sum of its proper divisors (1430478).

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

928242 is a wasteful number, since it uses less digits than its factorization.

928242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 928242 is about 963.4531644040. The cubic root of 928242 is about 97.5484571753.

The spelling of 928242 in words is "nine hundred twenty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 139 159 278 318 371 417 477 742 834 954 973 1113 1251 1946 2226 2502 2919 3339 5838 6678 7367 8757 14734 17514 22101 44202 51569 66303 103138 132606 154707 309414 464121 928242