Search a number
-
+
928064 = 2617853
BaseRepresentation
bin11100010100101000000
31202011001202
43202211000
5214144224
631520332
710613504
oct3424500
91664052
10928064
115842a5
123890a8
13266567
141a2304
15134eae
hexe2940

928064 has 28 divisors (see below), whose sum is σ = 1952244. Its totient is φ = 436224.

The previous prime is 928063. The next prime is 928079. The reversal of 928064 is 460829.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 577600 = 592^2 + 760^2 .

It is a super-2 number, since 2×9280642 = 1722605576192, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 928064.

It is not an unprimeable number, because it can be changed into a prime (928063) 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 3 ways as a sum of consecutive naturals, for example, 662 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (69723).

2928064 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 928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976122).

928064 is an abundant number, since it is smaller than the sum of its proper divisors (1024180).

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

928064 is a wasteful number, since it uses less digits than its factorization.

928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 928064 is about 963.3607839226. The cubic root of 928064 is about 97.5422214683.

The spelling of 928064 in words is "nine hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 853 1088 1706 3412 6824 13648 14501 27296 29002 54592 58004 116008 232016 464032 928064