Search a number
-
+
483072 = 2831737
BaseRepresentation
bin1110101111100000000
3220112122120
41311330000
5110424242
614204240
74051242
oct1657400
9815576
10483072
112aaa37
121b3680
1313bb55
14c8092
15981ec
hex75f00

483072 has 72 divisors (see below), whose sum is σ = 1398096. Its totient is φ = 147456.

The previous prime is 483071. The next prime is 483097. The reversal of 483072 is 270384.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13038 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (19418).

2483072 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 483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048).

483072 is an abundant number, since it is smaller than the sum of its proper divisors (915024).

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

483072 is a wasteful number, since it uses less digits than its factorization.

483072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 483072 is about 695.0338121272. The cubic root of 483072 is about 78.4640320977.

Adding to 483072 its product of nonzero digits (1344), we get a square (484416 = 6962).

It can be divided in two parts, 48 and 3072, that multiplied together give a square (147456 = 3842).

The spelling of 483072 in words is "four hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 256 272 296 384 408 444 544 592 629 768 816 888 1088 1184 1258 1632 1776 1887 2176 2368 2516 3264 3552 3774 4352 4736 5032 6528 7104 7548 9472 10064 13056 14208 15096 20128 28416 30192 40256 60384 80512 120768 161024 241536 483072