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483264 = 2632839
BaseRepresentation
bin1110101111111000000
3220112220200
41311333000
5110431024
614205200
74051635
oct1657700
9815820
10483264
113000a1
121b3800
1313bc72
14c818c
15982c9
hex75fc0

483264 has 42 divisors (see below), whose sum is σ = 1386840. Its totient is φ = 160896.

The previous prime is 483251. The next prime is 483281. The reversal of 483264 is 462384.

483264 is nontrivially palindromic in base 14.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

483264 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 157 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (33020).

2483264 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 483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693420).

483264 is an abundant number, since it is smaller than the sum of its proper divisors (903576).

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

483264 is a wasteful number, since it uses less digits than its factorization.

483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 483264 is about 695.1719211821. The cubic root of 483264 is about 78.4744260616.

It can be divided in two parts, 483 and 264, that added together give a palindrome (747).

The spelling of 483264 in words is "four hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 839 1678 2517 3356 5034 6712 7551 10068 13424 15102 20136 26848 30204 40272 53696 60408 80544 120816 161088 241632 483264