Search a number
-
+
283024 = 2472192
BaseRepresentation
bin1000101000110010000
3112101020101
41011012100
533024044
610022144
72256100
oct1050620
9471211
10283024
11183705
12117954
139ba91
1475200
1558cd4
hex45190

283024 has 45 divisors (see below), whose sum is σ = 673227. Its totient is φ = 114912.

The previous prime is 283009. The next prime is 283027. The reversal of 283024 is 420382.

It is a happy number.

The square root of 283024 is 532.

It is a perfect power (a square), and thus also a powerful number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 282992 and 283010.

It is not an unprimeable number, because it can be changed into a prime (283027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14887 + ... + 14905.

283024 is a Friedman number, since it can be written as (20+8^3)^(4-2), using all its digits and the basic arithmetic operations.

2283024 is an apocalyptic number.

283024 is the 532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283024

283024 is an abundant number, since it is smaller than the sum of its proper divisors (390203).

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

283024 is a wasteful number, since it uses less digits than its factorization.

283024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 283024 is about 65.6560001685.

The spelling of 283024 in words is "two hundred eighty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 532 722 784 931 1064 1444 1862 2128 2527 2888 3724 5054 5776 7448 10108 14896 17689 20216 35378 40432 70756 141512 283024