Search a number
-
+
483616 = 25717127
BaseRepresentation
bin1110110000100100000
3220120101201
41312010200
5110433431
614210544
74052650
oct1660440
9816351
10483616
11300391
121b3a54
1313c183
14c8360
1598461
hex76120

483616 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 193536.

The previous prime is 483611. The next prime is 483619. The reversal of 483616 is 616384.

483616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (483611) by changing a digit.

483616 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3745 + ... + 3871.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2483616 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 483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

483616 is an abundant number, since it is smaller than the sum of its proper divisors (677600).

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

483616 is a wasteful number, since it uses less digits than its factorization.

483616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 483616 is about 695.4250498796. The cubic root of 483616 is about 78.4934745140.

The spelling of 483616 in words is "four hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 127 136 224 238 254 272 476 508 544 889 952 1016 1778 1904 2032 2159 3556 3808 4064 4318 7112 8636 14224 15113 17272 28448 30226 34544 60452 69088 120904 241808 483616