Search a number
-
+
265428 = 223273101
BaseRepresentation
bin1000000110011010100
3111111002200
41000303110
531443203
65404500
72153562
oct1006324
9444080
10265428
11171469
12109730
1393a77
146ca32
15539a3
hex40cd4

265428 has 36 divisors (see below), whose sum is σ = 686868. Its totient is φ = 86400.

The previous prime is 265427. The next prime is 265451. The reversal of 265428 is 824562.

265428 is a `hidden beast` number, since 2 + 654 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 51984 = 462^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265423) 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 11 ways as a sum of consecutive naturals, for example, 2578 + ... + 2678.

2265428 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 265428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343434).

265428 is an abundant number, since it is smaller than the sum of its proper divisors (421440).

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

265428 is a wasteful number, since it uses less digits than its factorization.

265428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 265428 is about 515.1970496810. The cubic root of 265428 is about 64.2661443076.

The spelling of 265428 in words is "two hundred sixty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 101 146 202 219 292 303 404 438 606 657 876 909 1212 1314 1818 2628 3636 7373 14746 22119 29492 44238 66357 88476 132714 265428